10613626665408 has 280 divisors, whose sum is σ = 33890430974400. Its totient is φ = 3264945408000.

The previous prime is 10613626665401. The next prime is 10613626665443. The reversal of 10613626665408 is 80456662631601.

10613626665408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10613626665408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613626665401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320162818 + ... + 320195966.

It is an arithmetic number, because the mean of its divisors is an integer number (121037253480).

Almost surely, 2^{10613626665408} is an apocalyptic number.

10613626665408 is a gapful number since it is divisible by the number (18) 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 10613626665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945215487200).

10613626665408 is an abundant number, since it is smaller than the sum of its proper divisors (23276804308992).

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

10613626665408 is a wasteful number, since it uses less digits than its factorization.

10613626665408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37937 (or 37918 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 10613626665408 in words is "ten trillion, six hundred thirteen billion, six hundred twenty-six million, six hundred sixty-five thousand, four hundred eight".