22514702401 has 9 divisors (see below), whose sum is σ = 22667122953. Its totient is φ = 22363302960.

The previous prime is 22514702389. The next prime is 22514702443. The reversal of 22514702401 is 10420741522.

The square root of 22514702401 is 150049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7267392001 + 15247310400 = 85249^2 + 123480^2 .

It is not a de Polignac number, because 22514702401 - 2³³ = 13924767809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22514702401.

It is not an unprimeable number, because it can be changed into a prime (22514702491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27158455 + ... + 27159283.

It is an arithmetic number, because the mean of its divisors is an integer number (2518569217).

Almost surely, 2^22514702401 is an apocalyptic number.

22514702401 is the 150049-th square number.

22514702401 is the 75025-th centered octagonal number.

It is an amenable number.

22514702401 is a deficient number, since it is larger than the sum of its proper divisors (152420552).

22514702401 is an frugal number, since it uses more digits than its factorization.

22514702401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 22514702401 in words is "twenty-two billion, five hundred fourteen million, seven hundred two thousand, four hundred one".