232225799968008 has 1536 divisors, whose sum is σ = 854845415424000. Its totient is φ = 55141322987520.

The previous prime is 232225799968007. The next prime is 232225799968021. The reversal of 232225799968008 is 800869997522232.

232225799968008 is a `hidden beast` number, since 2 + 322 + 2 + 57 + 99 + 96 + 80 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (232225799968007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 319430260941 + ... + 319430261667.

It is an arithmetic number, because the mean of its divisors is an integer number (556539984000).

Almost surely, 2^{232225799968008} is an apocalyptic number.

232225799968008 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 232225799968008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427422707712000).

232225799968008 is an abundant number, since it is smaller than the sum of its proper divisors (622619615455992).

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

232225799968008 is a wasteful number, since it uses less digits than its factorization.

232225799968008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 232225799968008 in words is "two hundred thirty-two trillion, two hundred twenty-five billion, seven hundred ninety-nine million, nine hundred sixty-eight thousand, eight".