22545885825936 has 240 divisors, whose sum is σ = 72089425856448. Its totient is φ = 6764440896000.

The previous prime is 22545885825899. The next prime is 22545885825937. The reversal of 22545885825936 is 63952858854522.

It is a happy number.

22545885825936 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 8 + 8 + 582 + 5 + 9 + 36 = 666.

It is a super-2 number, since 2×22545885825936² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (22545885825937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709830 + ... + 6929306.

Almost surely, 2^{22545885825936} 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 22545885825936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36044712928224).

22545885825936 is an abundant number, since it is smaller than the sum of its proper divisors (49543540030512).

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

22545885825936 is a wasteful number, since it uses less digits than its factorization.

22545885825936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219612 (or 5219594 counting only the distinct ones).

The product of its digits is 1658880000, while the sum is 72.

The spelling of 22545885825936 in words is "twenty-two trillion, five hundred forty-five billion, eight hundred eighty-five million, eight hundred twenty-five thousand, nine hundred thirty-six".