230498910157824 has 660 divisors, whose sum is σ = 873483155887320. Its totient is φ = 59869835182080.

The previous prime is 230498910157801. The next prime is 230498910157829. The reversal of 230498910157824 is 428751019894032.

230498910157824 is a `hidden beast` number, since 2 + 3 + 0 + 49 + 8 + 9 + 10 + 1 + 578 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230498910157829) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42128922 + ... + 47284710.

It is an arithmetic number, because the mean of its divisors is an integer number (1323459327102).

Almost surely, 2^{230498910157824} is an apocalyptic number.

230498910157824 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 230498910157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436741577943660).

230498910157824 is an abundant number, since it is smaller than the sum of its proper divisors (642984245729496).

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

230498910157824 is a wasteful number, since it uses less digits than its factorization.

230498910157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155846 (or 5155812 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 230498910157824 in words is "two hundred thirty trillion, four hundred ninety-eight billion, nine hundred ten million, one hundred fifty-seven thousand, eight hundred twenty-four".