22511325134232 has 384 divisors, whose sum is σ = 67491009331200. Its totient is φ = 6721949203200.

The previous prime is 22511325134201. The next prime is 22511325134279. The reversal of 22511325134232 is 23243152311522.

22511325134232 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 132 + 513 + 4 + 2 + 3 + 2 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15429283119 + ... + 15429284577.

It is an arithmetic number, because the mean of its divisors is an integer number (175757836800).

Almost surely, 2^{22511325134232} is an apocalyptic number.

22511325134232 is a gapful number since it is divisible by the number (22) 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 22511325134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745504665600).

22511325134232 is an abundant number, since it is smaller than the sum of its proper divisors (44979684196968).

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

22511325134232 is a wasteful number, since it uses less digits than its factorization.

22511325134232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2540 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 22511325134232 its reverse (23243152311522), we get a palindrome (45754477445754).

The spelling of 22511325134232 in words is "twenty-two trillion, five hundred eleven billion, three hundred twenty-five million, one hundred thirty-four thousand, two hundred thirty-two".