1172579164416 has 1296 divisors, whose sum is σ = 4168513323520. Its totient is φ = 315319910400.

The previous prime is 1172579164391. The next prime is 1172579164441. The reversal of 1172579164416 is 6144619752711.

1172579164416 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 579 + 1 + 64 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1172579164391) and next prime (1172579164441).

Its product of digits (2540160) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6075539616 + ... + 6075539808.

Almost surely, 2^{1172579164416} is an apocalyptic number.

1172579164416 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 1172579164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084256661760).

1172579164416 is an abundant number, since it is smaller than the sum of its proper divisors (2995934159104).

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

1172579164416 is a wasteful number, since it uses less digits than its factorization.

1172579164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 296 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 1172579164416 in words is "one trillion, one hundred seventy-two billion, five hundred seventy-nine million, one hundred sixty-four thousand, four hundred sixteen".