11658070634112 has 320 divisors, whose sum is σ = 39657126801600. Its totient is φ = 3330324688896.

The previous prime is 11658070634087. The next prime is 11658070634113. The reversal of 11658070634112 is 21143607085611.

11658070634112 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 8 + 0 + 7 + 0 + 634 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×11658070634112² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11658070634113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 668343663 + ... + 668361105.

It is an arithmetic number, because the mean of its divisors is an integer number (123928521255).

Almost surely, 2^{11658070634112} is an apocalyptic number.

11658070634112 is a gapful number since it is divisible by the number (12) 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 11658070634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828563400800).

11658070634112 is an abundant number, since it is smaller than the sum of its proper divisors (27999056167488).

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

11658070634112 is an equidigital number, since it uses as much as digits as its factorization.

11658070634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26685 (or 26664 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11658070634112 in words is "eleven trillion, six hundred fifty-eight billion, seventy million, six hundred thirty-four thousand, one hundred twelve".