48531034992000 has 512 divisors, whose sum is σ = 177478018099200. Its totient is φ = 11632896000000.

The previous prime is 48531034991993. The next prime is 48531034992061. The reversal of 48531034992000 is 29943013584.

It is a super-2 number, since 2×48531034992000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46475625 + ... + 47508375.

It is an arithmetic number, because the mean of its divisors is an integer number (346636754100).

Almost surely, 2^{48531034992000} is an apocalyptic number.

48531034992000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48531034992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88739009049600).

48531034992000 is an abundant number, since it is smaller than the sum of its proper divisors (128946983107200).

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

48531034992000 is a wasteful number, since it uses less digits than its factorization.

48531034992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032883 (or 1032861 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 48531034992000 in words is "forty-eight trillion, five hundred thirty-one billion, thirty-four million, nine hundred ninety-two thousand".