11632710500361 has 48 divisors (see below), whose sum is σ = 17468820969600. Its totient is φ = 7735720071168.

The previous prime is 11632710500347. The next prime is 11632710500399. The reversal of 11632710500361 is 16300501723611.

11632710500361 is a `hidden beast` number, since 1 + 1 + 63 + 27 + 10 + 500 + 3 + 61 = 666.

It is not a de Polignac number, because 11632710500361 - 2²¹ = 11632708403209 is a prime.

It is a super-2 number, since 2×11632710500361² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11632710500261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156744315 + ... + 156818511.

It is an arithmetic number, because the mean of its divisors is an integer number (363933770200).

Almost surely, 2^{11632710500361} is an apocalyptic number.

It is an amenable number.

11632710500361 is a deficient number, since it is larger than the sum of its proper divisors (5836110469239).

11632710500361 is an frugal number, since it uses more digits than its factorization.

11632710500361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75820 (or 75808 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11632710500361 in words is "eleven trillion, six hundred thirty-two billion, seven hundred ten million, five hundred thousand, three hundred sixty-one".