22533249486400 has 63 divisors (see below), whose sum is σ = 55446344237011. Its totient is φ = 9013223843840.

The previous prime is 22533249486379. The next prime is 22533249486401. The reversal of 22533249486400 is 468494233522.

The square root of 22533249486400 is 4746920.

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 4395463199296 + 18137786287104 = 2096536^2 + 4258848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22533249486401) 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, 189817464 + ... + 189936136.

Almost surely, 2^{22533249486400} is an apocalyptic number.

22533249486400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22533249486400 is the 4746920-th square number.

It is an amenable number.

22533249486400 is an abundant number, since it is smaller than the sum of its proper divisors (32913094750611).

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

22533249486400 is an frugal number, since it uses more digits than its factorization.

22533249486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237368 (or 118680 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 22533249486400 in words is "twenty-two trillion, five hundred thirty-three billion, two hundred forty-nine million, four hundred eighty-six thousand, four hundred".