232061566464 has 1440 divisors, whose sum is σ = 920651387040. Its totient is φ = 57187565568.

The previous prime is 232061566381. The next prime is 232061566481. The reversal of 232061566464 is 464665160232.

It is a happy number.

232061566464 is a `hidden beast` number, since 2 + 3 + 20 + 6 + 1 + 566 + 4 + 64 = 666.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3178925532 + ... + 3178925604.

It is an arithmetic number, because the mean of its divisors is an integer number (639341241).

Almost surely, 2^232061566464 is an apocalyptic number.

232061566464 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 232061566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460325693520).

232061566464 is an abundant number, since it is smaller than the sum of its proper divisors (688589820576).

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

232061566464 is a wasteful number, since it uses less digits than its factorization.

232061566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 232061566464 in words is "two hundred thirty-two billion, sixty-one million, five hundred sixty-six thousand, four hundred sixty-four".