10604307456 has 110 divisors (see below), whose sum is σ = 31666782950. Its totient is φ = 3534741504.

The previous prime is 10604307451. The next prime is 10604307473. The reversal of 10604307456 is 65470340601.

It is a happy number.

10604307456 is a `hidden beast` number, since 1 + 0 + 604 + 3 + 0 + 7 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10571129856 + 33177600 = 102816^2 + 5760^2 .

It is a super-2 number, since 2×10604307456² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10604307456.

It is not an unprimeable number, because it can be changed into a prime (10604307451) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19020 + ... + 146868.

It is an arithmetic number, because the mean of its divisors is an integer number (287879845).

Almost surely, 2^10604307456 is an apocalyptic number.

10604307456 is a gapful number since it is divisible by the number (16) 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 10604307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833391475).

10604307456 is an abundant number, since it is smaller than the sum of its proper divisors (21062475494).

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

10604307456 is an equidigital number, since it uses as much as digits as its factorization.

10604307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127881 (or 127854 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10604307456 in words is "ten billion, six hundred four million, three hundred seven thousand, four hundred fifty-six".