230023982736 has 280 divisors, whose sum is σ = 683276446080. Its totient is φ = 74964434688.

The previous prime is 230023982729. The next prime is 230023982737. The reversal of 230023982736 is 637289320032.

230023982736 is a `hidden beast` number, since 2 + 300 + 239 + 82 + 7 + 36 = 666.

It is a super-2 number, since 2×230023982736² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230023982691 and 230023982700.

It is not an unprimeable number, because it can be changed into a prime (230023982737) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 98594626 + ... + 98596958.

Almost surely, 2^230023982736 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 230023982736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341638223040).

230023982736 is an abundant number, since it is smaller than the sum of its proper divisors (453252463344).

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

230023982736 is a wasteful number, since it uses less digits than its factorization.

230023982736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 230023982736 in words is "two hundred thirty billion, twenty-three million, nine hundred eighty-two thousand, seven hundred thirty-six".