232653764952064 has 133 divisors (see below), whose sum is σ = 480816863796319. Its totient is φ = 112574402396160.

The previous prime is 232653764952031. The next prime is 232653764952083. The reversal of 232653764952064 is 460259467356232.

The square root of 232653764952064 is 15252992.

The cubic root of 232653764952064 is 61504.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232653764951987 and 232653764952005.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 7504960159729 + ... + 7504960159759.

Almost surely, 2^{232653764952064} is an apocalyptic number.

232653764952064 is the 15252992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232653764952064

232653764952064 is an abundant number, since it is smaller than the sum of its proper divisors (248163098844255).

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

232653764952064 is an frugal number, since it uses more digits than its factorization.

232653764952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 64.

232653764952064 divided by its sum of digits (64) gives a 6-th power (3635215077376 = 124⁶).

The spelling of 232653764952064 in words is "two hundred thirty-two trillion, six hundred fifty-three billion, seven hundred sixty-four million, nine hundred fifty-two thousand, sixty-four".