48812874918912 has 704 divisors, whose sum is σ = 161015958835200. Its totient is φ = 14506467655680.

The previous prime is 48812874918911. The next prime is 48812874918991. The reversal of 48812874918912 is 21981947821884.

48812874918912 is a `hidden beast` number, since 4 + 8 + 8 + 128 + 7 + 491 + 8 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48812874918911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6094748764 + ... + 6094756772.

Almost surely, 2^{48812874918912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48812874918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80507979417600).

48812874918912 is an abundant number, since it is smaller than the sum of its proper divisors (112203083916288).

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

48812874918912 is a wasteful number, since it uses less digits than its factorization.

48812874918912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8605 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 72.

The spelling of 48812874918912 in words is "forty-eight trillion, eight hundred twelve billion, eight hundred seventy-four million, nine hundred eighteen thousand, nine hundred twelve".