10612965638016 has 448 divisors, whose sum is σ = 36250297221600. Its totient is φ = 3030460231680.

The previous prime is 10612965637997. The next prime is 10612965638021. The reversal of 10612965638016 is 61083656921601.

10612965638016 is a `hidden beast` number, since 1 + 0 + 61 + 2 + 9 + 6 + 563 + 8 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10612965638016² (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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1398463150 + ... + 1398470738.

Almost surely, 2^{10612965638016} is an apocalyptic number.

10612965638016 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 10612965638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125148610800).

10612965638016 is an abundant number, since it is smaller than the sum of its proper divisors (25637331583584).

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

10612965638016 is an frugal number, since it uses more digits than its factorization.

10612965638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10612965638016 in words is "ten trillion, six hundred twelve billion, nine hundred sixty-five million, six hundred thirty-eight thousand, sixteen".