1092113136576 has 448 divisors, whose sum is σ = 4008589148160. Its totient is φ = 283258321920.

The previous prime is 1092113136559. The next prime is 1092113136613. The reversal of 1092113136576 is 6756313112901.

1092113136576 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 11 + 31 + 36 + 576 = 666.

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

It is a super-2 number, since 2×1092113136576² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98855085 + ... + 98866131.

Almost surely, 2^{1092113136576} is an apocalyptic number.

1092113136576 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 1092113136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004294574080).

1092113136576 is an abundant number, since it is smaller than the sum of its proper divisors (2916476011584).

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

1092113136576 is a wasteful number, since it uses less digits than its factorization.

1092113136576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1092113136576 in words is "one trillion, ninety-two billion, one hundred thirteen million, one hundred thirty-six thousand, five hundred seventy-six".