232609112064 has 756 divisors, whose sum is σ = 819728057772. Its totient is φ = 63355944960.

The previous prime is 232609112053. The next prime is 232609112107. The reversal of 232609112064 is 460211906232.

It is a happy number.

232609112064 is a `hidden beast` number, since 2 + 32 + 609 + 1 + 12 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3471777759 + ... + 3471777825.

Almost surely, 2^232609112064 is an apocalyptic number.

232609112064 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 232609112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409864028886).

232609112064 is an abundant number, since it is smaller than the sum of its proper divisors (587118945708).

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

232609112064 is an equidigital number, since it uses as much as digits as its factorization.

232609112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 232609112064 in words is "two hundred thirty-two billion, six hundred nine million, one hundred twelve thousand, sixty-four".