11179111971456 has 768 divisors, whose sum is σ = 39140601494400. Its totient is φ = 3120231628800.

The previous prime is 11179111971451. The next prime is 11179111971481. The reversal of 11179111971456 is 65417911197111.

11179111971456 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 9 + 1 + 119 + 71 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11179111971451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2832304075 + ... + 2832308021.

Almost surely, 2^{11179111971456} is an apocalyptic number.

11179111971456 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 11179111971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570300747200).

11179111971456 is an abundant number, since it is smaller than the sum of its proper divisors (27961489522944).

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

11179111971456 is a wasteful number, since it uses less digits than its factorization.

11179111971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4497 counting only the distinct ones).

The product of its digits is 476280, while the sum is 54.

The spelling of 11179111971456 in words is "eleven trillion, one hundred seventy-nine billion, one hundred eleven million, nine hundred seventy-one thousand, four hundred fifty-six".