64457916048 has 40 divisors (see below), whose sum is σ = 185018093600. Its totient is φ = 21485971872.

The previous prime is 64457916041. The next prime is 64457916059. The reversal of 64457916048 is 84061975446.

64457916048 is a `hidden beast` number, since 6 + 4 + 4 + 579 + 1 + 60 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64457915985 and 64457916003.

It is not an unprimeable number, because it can be changed into a prime (64457916041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74603638 + ... + 74604501.

It is an arithmetic number, because the mean of its divisors is an integer number (4625452340).

Almost surely, 2^64457916048 is an apocalyptic number.

It is an amenable number.

64457916048 is an abundant number, since it is smaller than the sum of its proper divisors (120560177552).

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

64457916048 is a wasteful number, since it uses less digits than its factorization.

64457916048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149208156 (or 149208144 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 64457916048 in words is "sixty-four billion, four hundred fifty-seven million, nine hundred sixteen thousand, forty-eight".