22347952704 has 336 divisors, whose sum is σ = 82536182400. Its totient is φ = 5804282880.

The previous prime is 22347952673. The next prime is 22347952717. The reversal of 22347952704 is 40725974322.

22347952704 is a `hidden beast` number, since 22 + 34 + 79 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×22347952704³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22347952704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455982 + ... + 1471250.

It is an arithmetic number, because the mean of its divisors is an integer number (245643400).

Almost surely, 2^22347952704 is an apocalyptic number.

22347952704 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 22347952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41268091200).

22347952704 is an abundant number, since it is smaller than the sum of its proper divisors (60188229696).

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

22347952704 is a wasteful number, since it uses less digits than its factorization.

22347952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 22347952704 in words is "twenty-two billion, three hundred forty-seven million, nine hundred fifty-two thousand, seven hundred four".