11766137472 has 192 divisors, whose sum is σ = 34813864800. Its totient is φ = 3812272128.

The previous prime is 11766137441. The next prime is 11766137479. The reversal of 11766137472 is 27473166711.

11766137472 is a `hidden beast` number, since 1 + 176 + 6 + 1 + 3 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (11766137479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13324743 + ... + 13325625.

Almost surely, 2^11766137472 is an apocalyptic number.

11766137472 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 11766137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406932400).

11766137472 is an abundant number, since it is smaller than the sum of its proper divisors (23047727328).

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

11766137472 is a wasteful number, since it uses less digits than its factorization.

11766137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1200 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 11766137472 in words is "eleven billion, seven hundred sixty-six million, one hundred thirty-seven thousand, four hundred seventy-two".