230938628497920 has 1280 divisors, whose sum is σ = 998391971681280. Its totient is φ = 49393437769728.

The previous prime is 230938628497901. The next prime is 230938628497921. The reversal of 230938628497920 is 29794826839032.

230938628497920 is a `hidden beast` number, since 2 + 3 + 0 + 93 + 8 + 6 + 28 + 497 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (230938628497921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1422892294 + ... + 1423054586.

It is an arithmetic number, because the mean of its divisors is an integer number (779993727876).

Almost surely, 2^{230938628497920} is an apocalyptic number.

230938628497920 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 230938628497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499195985840640).

230938628497920 is an abundant number, since it is smaller than the sum of its proper divisors (767453343183360).

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

230938628497920 is a wasteful number, since it uses less digits than its factorization.

230938628497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162522 (or 162500 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 230938628497920 in words is "two hundred thirty trillion, nine hundred thirty-eight billion, six hundred twenty-eight million, four hundred ninety-seven thousand, nine hundred twenty".