232065429705648 has 1920 divisors, whose sum is σ = 920440928010240. Its totient is φ = 54742044672000.

The previous prime is 232065429705607. The next prime is 232065429705691. The reversal of 232065429705648 is 846507924560232.

232065429705648 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 65 + 4 + 2 + 9 + 7 + 0 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59795264668 + ... + 59795268548.

It is an arithmetic number, because the mean of its divisors is an integer number (479396316672).

Almost surely, 2^{232065429705648} is an apocalyptic number.

232065429705648 is a gapful number since it is divisible by the number (28) 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 232065429705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460220464005120).

232065429705648 is an abundant number, since it is smaller than the sum of its proper divisors (688375498304592).

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

232065429705648 is a wasteful number, since it uses less digits than its factorization.

232065429705648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 232065429705648 in words is "two hundred thirty-two trillion, sixty-five billion, four hundred twenty-nine million, seven hundred five thousand, six hundred forty-eight".