22136815741824 has 1536 divisors, whose sum is σ = 83109216153600. Its totient is φ = 5718756556800.

The previous prime is 22136815741823. The next prime is 22136815741837. The reversal of 22136815741824 is 42814751863122.

22136815741824 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 68 + 1 + 574 + 1 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×22136815741824² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22136815741823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29089113604 + ... + 29089114364.

It is an arithmetic number, because the mean of its divisors is an integer number (54107562600).

Almost surely, 2^{22136815741824} is an apocalyptic number.

22136815741824 is a gapful number since it is divisible by the number (24) 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 22136815741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41554608076800).

22136815741824 is an abundant number, since it is smaller than the sum of its proper divisors (60972400411776).

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

22136815741824 is a wasteful number, since it uses less digits than its factorization.

22136815741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1090 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 22136815741824 in words is "twenty-two trillion, one hundred thirty-six billion, eight hundred fifteen million, seven hundred forty-one thousand, eight hundred twenty-four".