22133405251152 has 240 divisors, whose sum is σ = 66893174187840. Its totient is φ = 6791348754432.

The previous prime is 22133405251127. The next prime is 22133405251157. The reversal of 22133405251152 is 25115250433122.

22133405251152 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 40 + 52 + 511 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133405251157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3077072068 + ... + 3077079260.

It is an arithmetic number, because the mean of its divisors is an integer number (278721559116).

Almost surely, 2^{22133405251152} 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 22133405251152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33446587093920).

22133405251152 is an abundant number, since it is smaller than the sum of its proper divisors (44759768936688).

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

22133405251152 is a wasteful number, since it uses less digits than its factorization.

22133405251152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 22133405251152 its reverse (25115250433122), we get a palindrome (47248655684274).

The spelling of 22133405251152 in words is "twenty-two trillion, one hundred thirty-three billion, four hundred five million, two hundred fifty-one thousand, one hundred fifty-two".