11630196864 has 512 divisors, whose sum is σ = 40900204800. Its totient is φ = 3207168000.

The previous prime is 11630196857. The next prime is 11630196869. The reversal of 11630196864 is 46869103611.

11630196864 is a `hidden beast` number, since 1 + 1 + 630 + 1 + 9 + 6 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×11630196864² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11630196869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49914892 + ... + 49915124.

Almost surely, 2^11630196864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450102400).

11630196864 is an abundant number, since it is smaller than the sum of its proper divisors (29270007936).

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

11630196864 is a wasteful number, since it uses less digits than its factorization.

11630196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11630196864 in words is "eleven billion, six hundred thirty million, one hundred ninety-six thousand, eight hundred sixty-four".