11632464146520 has 3072 divisors, whose sum is σ = 50721914880000. Its totient is φ = 2299556044800.

The previous prime is 11632464146453. The next prime is 11632464146521. The reversal of 11632464146520 is 2564146423611.

11632464146520 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 46 + 41 + 46 + 520 = 666.

It is a super-2 number, since 2×11632464146520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632464146521) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 140150170399 + ... + 140150170481.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040000).

Almost surely, 2^{11632464146520} is an apocalyptic number.

11632464146520 is a gapful number since it is divisible by the number (10) 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 11632464146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440000).

11632464146520 is an abundant number, since it is smaller than the sum of its proper divisors (39089450733480).

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

11632464146520 is a wasteful number, since it uses less digits than its factorization.

11632464146520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 11632464146520 in words is "eleven trillion, six hundred thirty-two billion, four hundred sixty-four million, one hundred forty-six thousand, five hundred twenty".