11657775465 has 72 divisors (see below), whose sum is σ = 23528232000. Its totient is φ = 5324203584.

The previous prime is 11657775427. The next prime is 11657775473. The reversal of 11657775465 is 56457775611.

11657775465 is a `hidden beast` number, since 1 + 1 + 6 + 577 + 7 + 5 + 4 + 65 = 666.

It is not a de Polignac number, because 11657775465 - 2¹³ = 11657767273 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3303532 + ... + 3307058.

It is an arithmetic number, because the mean of its divisors is an integer number (326781000).

Almost surely, 2^11657775465 is an apocalyptic number.

11657775465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11657775465 is an abundant number, since it is smaller than the sum of its proper divisors (11870456535).

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

11657775465 is a wasteful number, since it uses less digits than its factorization.

11657775465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5041 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 11657775465 in words is "eleven billion, six hundred fifty-seven million, seven hundred seventy-five thousand, four hundred sixty-five".