231802072040448 has 2112 divisors, whose sum is σ = 878209801297920. Its totient is φ = 59440765206528.

The previous prime is 231802072040431. The next prime is 231802072040491. The reversal of 231802072040448 is 844040270208132.

231802072040448 is a `hidden beast` number, since 2 + 3 + 1 + 80 + 20 + 72 + 0 + 40 + 448 = 666.

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, 184116021643 + ... + 184116022901.

Almost surely, 2^{231802072040448} is an apocalyptic number.

231802072040448 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 231802072040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439104900648960).

231802072040448 is an abundant number, since it is smaller than the sum of its proper divisors (646407729257472).

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

231802072040448 is a wasteful number, since it uses less digits than its factorization.

231802072040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 231802072040448 in words is "two hundred thirty-one trillion, eight hundred two billion, seventy-two million, forty thousand, four hundred forty-eight".