104623646029056 has 1440 divisors, whose sum is σ = 400243060014336. Its totient is φ = 26396098560000.

The previous prime is 104623646029043. The next prime is 104623646029061. The reversal of 104623646029056 is 650920646326401.

104623646029056 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 23 + 6 + 4 + 602 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×104623646029056² (a number of 29 digits) contains 22 as substring.

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 = 104623646028993 and 104623646029011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8546979096 + ... + 8546991336.

Almost surely, 2^{104623646029056} is an apocalyptic number.

104623646029056 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 104623646029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200121530007168).

104623646029056 is an abundant number, since it is smaller than the sum of its proper divisors (295619413985280).

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

104623646029056 is a wasteful number, since it uses less digits than its factorization.

104623646029056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 104623646029056 in words is "one hundred four trillion, six hundred twenty-three billion, six hundred forty-six million, twenty-nine thousand, fifty-six".