48388956564480 has 352 divisors, whose sum is σ = 182978202839040. Its totient is φ = 10678941450240.

The previous prime is 48388956564479. The next prime is 48388956564499. The reversal of 48388956564480 is 8446565988384.

It is a super-2 number, since 2×48388956564480² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48388956564396 and 48388956564405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4641336 + ... + 10877495.

Almost surely, 2^{48388956564480} is an apocalyptic number.

48388956564480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48388956564480 is an abundant number, since it is smaller than the sum of its proper divisors (134589246274560).

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

48388956564480 is a wasteful number, since it uses less digits than its factorization.

48388956564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518895 (or 15518877 counting only the distinct ones).

The product of its (nonzero) digits is 6370099200, while the sum is 78.

The spelling of 48388956564480 in words is "forty-eight trillion, three hundred eighty-eight billion, nine hundred fifty-six million, five hundred sixty-four thousand, four hundred eighty".