22013010541368 has 288 divisors, whose sum is σ = 74868603039360. Its totient is φ = 5676503172480.

The previous prime is 22013010541367. The next prime is 22013010541421. The reversal of 22013010541368 is 86314501031022.

22013010541368 is a `hidden beast` number, since 2 + 2 + 0 + 130 + 105 + 413 + 6 + 8 = 666.

It is a super-2 number, since 2×22013010541368² (a number of 27 digits) contains 22 as substring.

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 (22013010541367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107012871 + ... + 107218377.

It is an arithmetic number, because the mean of its divisors is an integer number (259960427220).

Almost surely, 2^{22013010541368} is an apocalyptic number.

22013010541368 is a gapful number since it is divisible by the number (28) 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 22013010541368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37434301519680).

22013010541368 is an abundant number, since it is smaller than the sum of its proper divisors (52855592497992).

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

22013010541368 is a wasteful number, since it uses less digits than its factorization.

22013010541368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205815 (or 205669 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22013010541368 in words is "twenty-two trillion, thirteen billion, ten million, five hundred forty-one thousand, three hundred sixty-eight".