48132849664 has 51 divisors (see below), whose sum is σ = 96377423797. Its totient is φ = 24038342656.

The previous prime is 48132849637. The next prime is 48132849689. The reversal of 48132849664 is 46694823184.

The square root of 48132849664 is 219392.

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

It can be written as a sum of positive squares in only one way, i.e., 44605440000 + 3527409664 = 211200^2 + 59392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 56163924 + ... + 56164780.

Almost surely, 2^48132849664 is an apocalyptic number.

48132849664 is the 219392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48132849664

48132849664 is an abundant number, since it is smaller than the sum of its proper divisors (48244574133).

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

48132849664 is an frugal number, since it uses more digits than its factorization.

48132849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 859 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The spelling of 48132849664 in words is "forty-eight billion, one hundred thirty-two million, eight hundred forty-nine thousand, six hundred sixty-four".