232772377282848 has 384 divisors, whose sum is σ = 776309118681600. Its totient is φ = 67221406089216.

The previous prime is 232772377282817. The next prime is 232772377282909. The reversal of 232772377282848 is 848282773277232.

232772377282848 is a `hidden beast` number, since 2 + 3 + 2 + 77 + 237 + 7 + 282 + 8 + 48 = 666.

It is a super-2 number, since 2×232772377282848² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66851040 + ... + 70246752.

It is an arithmetic number, because the mean of its divisors is an integer number (2021638329900).

Almost surely, 2^{232772377282848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232772377282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388154559340800).

232772377282848 is an abundant number, since it is smaller than the sum of its proper divisors (543536741398752).

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

232772377282848 is a wasteful number, since it uses less digits than its factorization.

232772377282848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396121 (or 3396107 counting only the distinct ones).

The product of its digits is 1416167424, while the sum is 72.

The spelling of 232772377282848 in words is "two hundred thirty-two trillion, seven hundred seventy-two billion, three hundred seventy-seven million, two hundred eighty-two thousand, eight hundred forty-eight".