11453653564164 has 288 divisors, whose sum is σ = 34759173496320. Its totient is φ = 3112304025600.

The previous prime is 11453653564159. The next prime is 11453653564187. The reversal of 11453653564164 is 46146535635411.

11453653564164 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 6 + 535 + 6 + 41 + 64 = 666.

11453653564164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11453653564164.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65200192 + ... + 65375624.

It is an arithmetic number, because the mean of its divisors is an integer number (120691574640).

Almost surely, 2^{11453653564164} is an apocalyptic number.

11453653564164 is a gapful number since it is divisible by the number (14) 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 11453653564164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379586748160).

11453653564164 is an abundant number, since it is smaller than the sum of its proper divisors (23305519932156).

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

11453653564164 is a wasteful number, since it uses less digits than its factorization.

11453653564164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175651 (or 175646 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 11453653564164 in words is "eleven trillion, four hundred fifty-three billion, six hundred fifty-three million, five hundred sixty-four thousand, one hundred sixty-four".