48161101632400 has 135 divisors (see below), whose sum is σ = 117949405833651. Its totient is φ = 18898073675520.

The previous prime is 48161101632379. The next prime is 48161101632419. The reversal of 48161101632400 is 423610116184.

The square root of 48161101632400 is 6939820.

It is a perfect power (a square), and thus also a powerful number.

48161101632400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 362794200976 + 47798307431424 = 602324^2 + 6913632^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48161101632400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7356205927 + ... + 7356212473.

Almost surely, 2^{48161101632400} is an apocalyptic number.

48161101632400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48161101632400 is the 6939820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48161101632400

48161101632400 is an abundant number, since it is smaller than the sum of its proper divisors (69788304201251).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48161101632400 is an frugal number, since it uses more digits than its factorization.

48161101632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 48161101632400 its reverse (423610116184), we get a palindrome (48584711748584).

The spelling of 48161101632400 in words is "forty-eight trillion, one hundred sixty-one billion, one hundred one million, six hundred thirty-two thousand, four hundred".