22813987407201 has 15 divisors (see below), whose sum is σ = 34080218244193. Its totient is φ = 15209296279740.

The previous prime is 22813987407191. The next prime is 22813987407223. The reversal of 22813987407201 is 10270478931822.

The square root of 22813987407201 is 4776399.

It is a perfect power (a square), and thus also a powerful number.

22813987407201 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 398 + 7 + 40 + 7 + 201 = 666.

It is not a de Polignac number, because 22813987407201 - 2⁷ = 22813987407073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22813987407271) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42722236 + ... + 43252946.

Almost surely, 2^{22813987407201} is an apocalyptic number.

22813987407201 is the 4776399-th square number.

22813987407201 is the 2388200-th centered octagonal number.

It is an amenable number.

22813987407201 is a deficient number, since it is larger than the sum of its proper divisors (11266230836992).

22813987407201 is an frugal number, since it uses more digits than its factorization.

22813987407201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061434 (or 530714 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 22813987407201 in words is "twenty-two trillion, eight hundred thirteen billion, nine hundred eighty-seven million, four hundred seven thousand, two hundred one".