23225514052000 has 384 divisors, whose sum is σ = 64150655220288. Its totient is φ = 8206977024000.

The previous prime is 23225514051953. The next prime is 23225514052003. The reversal of 23225514052000 is 25041552232.

It can be written as a sum of positive squares in 32 ways, for example, as 9959805799056 + 13265708252944 = 3155916^2 + 3642212^2 .

It is not an unprimeable number, because it can be changed into a prime (23225514052003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117265054 + ... + 117462946.

Almost surely, 2^{23225514052000} is an apocalyptic number.

23225514052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225514052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32075327610144).

23225514052000 is an abundant number, since it is smaller than the sum of its proper divisors (40925141168288).

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

23225514052000 is a wasteful number, since it uses less digits than its factorization.

23225514052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198029 (or 198011 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 23225514052000 in words is "twenty-three trillion, two hundred twenty-five billion, five hundred fourteen million, fifty-two thousand".