10457649290304 has 84 divisors (see below), whose sum is σ = 30483013831920. Its totient is φ = 3426800321280.

The previous prime is 10457649290299. The next prime is 10457649290369. The reversal of 10457649290304 is 40309294675401.

10457649290304 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 6 + 49 + 290 + 304 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153827382 + ... + 153895349.

Almost surely, 2^{10457649290304} is an apocalyptic number.

It is an amenable number.

10457649290304 is an abundant number, since it is smaller than the sum of its proper divisors (20025364541616).

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

10457649290304 is a wasteful number, since it uses less digits than its factorization.

10457649290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307722808 (or 307722795 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10457649290304 in words is "ten trillion, four hundred fifty-seven billion, six hundred forty-nine million, two hundred ninety thousand, three hundred four".