11121632530164 has 384 divisors, whose sum is σ = 32078705218560. Its totient is φ = 3310377984000.

The previous prime is 11121632530157. The next prime is 11121632530193. The reversal of 11121632530164 is 46103523612111.

11121632530164 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 1 + 63 + 2 + 530 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7449183802 + ... + 7449185294.

It is an arithmetic number, because the mean of its divisors is an integer number (83538294840).

Almost surely, 2^{11121632530164} 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 11121632530164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039352609280).

11121632530164 is an abundant number, since it is smaller than the sum of its proper divisors (20957072688396).

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

11121632530164 is a wasteful number, since it uses less digits than its factorization.

11121632530164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11121632530164 in words is "eleven trillion, one hundred twenty-one billion, six hundred thirty-two million, five hundred thirty thousand, one hundred sixty-four".