2345125238400 has 768 divisors, whose sum is σ = 9181840896000. Its totient is φ = 514896445440.

The previous prime is 2345125238359. The next prime is 2345125238411. The reversal of 2345125238400 is 48325215432.

It is a super-2 number, since 2×2345125238400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196419631 + ... + 196431569.

It is an arithmetic number, because the mean of its divisors is an integer number (11955522000).

Almost surely, 2^{2345125238400} is an apocalyptic number.

2345125238400 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 2345125238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590920448000).

2345125238400 is an abundant number, since it is smaller than the sum of its proper divisors (6836715657600).

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

2345125238400 is a wasteful number, since it uses less digits than its factorization.

2345125238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 2345125238400 in words is "two trillion, three hundred forty-five billion, one hundred twenty-five million, two hundred thirty-eight thousand, four hundred".