22346694016920 has 5120 divisors, whose sum is σ = 108921131827200. Its totient is φ = 3996679864320.

The previous prime is 22346694016877. The next prime is 22346694016931. The reversal of 22346694016920 is 2961049664322.

22346694016920 is a `hidden beast` number, since 2 + 2 + 3 + 466 + 94 + 0 + 1 + 6 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 603964703142 + ... + 603964703178.

It is an arithmetic number, because the mean of its divisors is an integer number (21273658560).

Almost surely, 2^{22346694016920} is an apocalyptic number.

22346694016920 is a gapful number since it is divisible by the number (20) 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 22346694016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460565913600).

22346694016920 is an abundant number, since it is smaller than the sum of its proper divisors (86574437810280).

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

22346694016920 is a wasteful number, since it uses less digits than its factorization.

22346694016920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 22346694016920 in words is "twenty-two trillion, three hundred forty-six billion, six hundred ninety-four million, sixteen thousand, nine hundred twenty".