235624650456 has 128 divisors (see below), whose sum is σ = 655169034240. Its totient is φ = 70125696000.

The previous prime is 235624650449. The next prime is 235624650491. The reversal of 235624650456 is 654056426532.

235624650456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23913931 + ... + 23923781.

It is an arithmetic number, because the mean of its divisors is an integer number (5118508080).

Almost surely, 2^235624650456 is an apocalyptic number.

235624650456 is a gapful number since it is divisible by the number (26) 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 235624650456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327584517120).

235624650456 is an abundant number, since it is smaller than the sum of its proper divisors (419544383784).

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

235624650456 is a wasteful number, since it uses less digits than its factorization.

235624650456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12373 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 235624650456 in words is "two hundred thirty-five billion, six hundred twenty-four million, six hundred fifty thousand, four hundred fifty-six".