230602838631480 has 1920 divisors, whose sum is σ = 960551643617280. Its totient is φ = 48573688504320.

The previous prime is 230602838631427. The next prime is 230602838631493. The reversal of 230602838631480 is 84136838206032.

230602838631480 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 0 + 2 + 83 + 86 + 3 + 1 + 480 = 666.

230602838631480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 479 ways as a sum of consecutive naturals, for example, 95408703232 + ... + 95408705648.

It is an arithmetic number, because the mean of its divisors is an integer number (500287314384).

Almost surely, 2^{230602838631480} is an apocalyptic number.

230602838631480 is a gapful number since it is divisible by the number (20) 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 230602838631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480275821808640).

230602838631480 is an abundant number, since it is smaller than the sum of its proper divisors (729948804985800).

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

230602838631480 is a wasteful number, since it uses less digits than its factorization.

230602838631480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 230602838631480 in words is "two hundred thirty trillion, six hundred two billion, eight hundred thirty-eight million, six hundred thirty-one thousand, four hundred eighty".