11794296917088 has 768 divisors, whose sum is σ = 41152943462400. Its totient is φ = 3216312852480.

The previous prime is 11794296917041. The next prime is 11794296917111. The reversal of 11794296917088 is 88071969249711.

11794296917088 is a `hidden beast` number, since 1 + 1 + 7 + 94 + 296 + 9 + 170 + 88 = 666.

It is a super-2 number, since 2×11794296917088² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3707730858 + ... + 3707734038.

It is an arithmetic number, because the mean of its divisors is an integer number (53584561800).

Almost surely, 2^{11794296917088} is an apocalyptic number.

11794296917088 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 11794296917088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576471731200).

11794296917088 is an abundant number, since it is smaller than the sum of its proper divisors (29358646545312).

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

11794296917088 is a wasteful number, since it uses less digits than its factorization.

11794296917088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 72.

The spelling of 11794296917088 in words is "eleven trillion, seven hundred ninety-four billion, two hundred ninety-six million, nine hundred seventeen thousand, eighty-eight".