22452401152400 has 30 divisors (see below), whose sum is σ = 53941893769602. Its totient is φ = 8980960460800.

The previous prime is 22452401152351. The next prime is 22452401152403. The reversal of 22452401152400 is 425110425422.

It can be written as a sum of positive squares in 3 ways, for example, as 80674177024 + 22371726975376 = 284032^2 + 4729876^2 .

It is a super-2 number, since 2×22452401152400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22452401152403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28065501041 + ... + 28065501840.

Almost surely, 2^{22452401152400} is an apocalyptic number.

22452401152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22452401152400 is an abundant number, since it is smaller than the sum of its proper divisors (31489492617202).

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

22452401152400 is a wasteful number, since it uses less digits than its factorization.

22452401152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56131002899 (or 56131002888 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 22452401152400 its reverse (425110425422), we get a palindrome (22877511577822).

The spelling of 22452401152400 in words is "twenty-two trillion, four hundred fifty-two billion, four hundred one million, one hundred fifty-two thousand, four hundred".