230585636736 has 960 divisors, whose sum is σ = 892685011680. Its totient is φ = 57527967744.

The previous prime is 230585636663. The next prime is 230585636759. The reversal of 230585636736 is 637636585032.

It is a happy number.

230585636736 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 8 + 563 + 6 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 340598830 + ... + 340599506.

Almost surely, 2^230585636736 is an apocalyptic number.

230585636736 is a gapful number since it is divisible by the number (26) 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 230585636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446342505840).

230585636736 is an abundant number, since it is smaller than the sum of its proper divisors (662099374944).

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

230585636736 is a wasteful number, since it uses less digits than its factorization.

230585636736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 230585636736 in words is "two hundred thirty billion, five hundred eighty-five million, six hundred thirty-six thousand, seven hundred thirty-six".