233625172704 has 384 divisors, whose sum is σ = 796143043584. Its totient is φ = 58226688000.

The previous prime is 233625172687. The next prime is 233625172727. The reversal of 233625172704 is 407271526332.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18481074 + ... + 18493710.

It is an arithmetic number, because the mean of its divisors is an integer number (2073289176).

Almost surely, 2^233625172704 is an apocalyptic number.

233625172704 is a gapful number since it is divisible by the number (24) 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 233625172704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398071521792).

233625172704 is an abundant number, since it is smaller than the sum of its proper divisors (562517870880).

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

233625172704 is a wasteful number, since it uses less digits than its factorization.

233625172704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12770 (or 12762 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 233625172704 in words is "two hundred thirty-three billion, six hundred twenty-five million, one hundred seventy-two thousand, seven hundred four".