22391890248049 has 81 divisors (see below), whose sum is σ = 28125304459083. Its totient is φ = 17772509746656.

The previous prime is 22391890248043. The next prime is 22391890248073. The reversal of 22391890248049 is 94084209819322.

The square root of 22391890248049 is 4732007.

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

It can be written as a sum of positive squares in only one way, i.e., 13833527229025 + 8558363019024 = 3719345^2 + 2925468^2 .

It is not a de Polignac number, because 22391890248049 - 2⁷ = 22391890247921 is a prime.

It is a super-3 number, since 3×22391890248049³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22391890248043) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29579775379 + ... + 29579776135.

Almost surely, 2^{22391890248049} is an apocalyptic number.

22391890248049 is the 4732007-th square number.

22391890248049 is the 2366004-th centered octagonal number.

It is an amenable number.

22391890248049 is a deficient number, since it is larger than the sum of its proper divisors (5733414211034).

22391890248049 is an frugal number, since it uses more digits than its factorization.

22391890248049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 22391890248049 in words is "twenty-two trillion, three hundred ninety-one billion, eight hundred ninety million, two hundred forty-eight thousand, forty-nine".