104956370064 has 480 divisors, whose sum is σ = 371054028800. Its totient is φ = 27519077376.

The previous prime is 104956370059. The next prime is 104956370107. The reversal of 104956370064 is 460073659401.

104956370064 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 637 + 0 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×104956370064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143187042 + ... + 143187774.

Almost surely, 2^104956370064 is an apocalyptic number.

104956370064 is a gapful number since it is divisible by the number (14) 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 104956370064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185527014400).

104956370064 is an abundant number, since it is smaller than the sum of its proper divisors (266097658736).

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

104956370064 is a wasteful number, since it uses less digits than its factorization.

104956370064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 104956370064 in words is "one hundred four billion, nine hundred fifty-six million, three hundred seventy thousand, sixty-four".