48063197296960 has 56 divisors (see below), whose sum is σ = 114454456013160. Its totient is φ = 19224612470784.

The previous prime is 48063197296937. The next prime is 48063197297021. The reversal of 48063197296960 is 6969279136084.

48063197296960 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 816160469056 + 47247036827904 = 903416^2 + 6873648^2 .

It is a super-3 number, since 3×48063197296960³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48063197296960.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6694072 + ... + 11871688.

Almost surely, 2^{48063197296960} is an apocalyptic number.

48063197296960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48063197296960 is an abundant number, since it is smaller than the sum of its proper divisors (66391258716200).

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

48063197296960 is a wasteful number, since it uses less digits than its factorization.

48063197296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206643 (or 5206633 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 70.

The spelling of 48063197296960 in words is "forty-eight trillion, sixty-three billion, one hundred ninety-seven million, two hundred ninety-six thousand, nine hundred sixty".