10613433456 has 240 divisors, whose sum is σ = 31934622720. Its totient is φ = 3374542080.

The previous prime is 10613433437. The next prime is 10613433487. The reversal of 10613433456 is 65433431601.

10613433456 is a `hidden beast` number, since 1 + 0 + 613 + 4 + 3 + 34 + 5 + 6 = 666.

It is a super-2 number, since 2×10613433456² (a number of 21 digits) contains 22 as substring.

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 10613433456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47593761 + ... + 47593983.

It is an arithmetic number, because the mean of its divisors is an integer number (133060928).

Almost surely, 2^10613433456 is an apocalyptic number.

10613433456 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 10613433456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967311360).

10613433456 is an abundant number, since it is smaller than the sum of its proper divisors (21321189264).

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

10613433456 is a wasteful number, since it uses less digits than its factorization.

10613433456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10613433456 in words is "ten billion, six hundred thirteen million, four hundred thirty-three thousand, four hundred fifty-six".