10456921452672 has 320 divisors, whose sum is σ = 32290285737600. Its totient is φ = 3355246540800.

The previous prime is 10456921452619. The next prime is 10456921452707. The reversal of 10456921452672 is 27625412965401.

10456921452672 is a `hidden beast` number, since 1 + 0 + 4 + 569 + 2 + 1 + 4 + 5 + 2 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99469897 + ... + 99574967.

It is an arithmetic number, because the mean of its divisors is an integer number (100907142930).

Almost surely, 2^{10456921452672} is an apocalyptic number.

10456921452672 is a gapful number since it is divisible by the number (12) 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 10456921452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145142868800).

10456921452672 is an abundant number, since it is smaller than the sum of its proper divisors (21833364284928).

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

10456921452672 is a wasteful number, since it uses less digits than its factorization.

10456921452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105457 (or 105436 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 10456921452672 in words is "ten trillion, four hundred fifty-six billion, nine hundred twenty-one million, four hundred fifty-two thousand, six hundred seventy-two".