10613344896 has 256 divisors, whose sum is σ = 39054412800. Its totient is φ = 2756643840.

The previous prime is 10613344879. The next prime is 10613344967. The reversal of 10613344896 is 69844331601.

10613344896 is a `hidden beast` number, since 106 + 13 + 3 + 448 + 96 = 666.

It is a super-2 number, since 2×10613344896² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246171 + ... + 286053.

It is an arithmetic number, because the mean of its divisors is an integer number (152556300).

Almost surely, 2^10613344896 is an apocalyptic number.

10613344896 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 10613344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19527206400).

10613344896 is an abundant number, since it is smaller than the sum of its proper divisors (28441067904).

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

10613344896 is a wasteful number, since it uses less digits than its factorization.

10613344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924 (or 39906 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10613344896 in words is "ten billion, six hundred thirteen million, three hundred forty-four thousand, eight hundred ninety-six".