232953377250048 has 1728 divisors, whose sum is σ = 828262445875200. Its totient is φ = 56736084787200.

The previous prime is 232953377250037. The next prime is 232953377250101. The reversal of 232953377250048 is 840052773359232.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232953377249973 and 232953377250000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129346682748 + ... + 129346684548.

Almost surely, 2^{232953377250048} is an apocalyptic number.

232953377250048 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 232953377250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414131222937600).

232953377250048 is an abundant number, since it is smaller than the sum of its proper divisors (595309068625152).

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

232953377250048 is a wasteful number, since it uses less digits than its factorization.

232953377250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 232953377250048 in words is "two hundred thirty-two trillion, nine hundred fifty-three billion, three hundred seventy-seven million, two hundred fifty thousand, forty-eight".