232456544320 has 448 divisors, whose sum is σ = 746691724800. Its totient is φ = 66567536640.

The previous prime is 232456544317. The next prime is 232456544329. The reversal of 232456544320 is 23445654232.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×232456544320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (232456544329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73351696 + ... + 73354864.

It is an arithmetic number, because the mean of its divisors is an integer number (1666722600).

Almost surely, 2^232456544320 is an apocalyptic number.

232456544320 is a gapful number since it is divisible by the number (20) 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 232456544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373345862400).

232456544320 is an abundant number, since it is smaller than the sum of its proper divisors (514235180480).

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

232456544320 is a wasteful number, since it uses less digits than its factorization.

232456544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 232456544320 in words is "two hundred thirty-two billion, four hundred fifty-six million, five hundred forty-four thousand, three hundred twenty".