230938815744 has 1152 divisors, whose sum is σ = 879083520000. Its totient is φ = 59403165696.

The previous prime is 230938815721. The next prime is 230938815827. The reversal of 230938815744 is 447518839032.

It is a happy number.

230938815744 is a `hidden beast` number, since 2 + 30 + 9 + 38 + 8 + 1 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 1818415809 + ... + 1818415935.

Almost surely, 2^230938815744 is an apocalyptic number.

230938815744 is a gapful number since it is divisible by the number (24) 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 230938815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439541760000).

230938815744 is an abundant number, since it is smaller than the sum of its proper divisors (648144704256).

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

230938815744 is a wasteful number, since it uses less digits than its factorization.

230938815744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 230938815744 in words is "two hundred thirty billion, nine hundred thirty-eight million, eight hundred fifteen thousand, seven hundred forty-four".