230549421070080 has 2304 divisors, whose sum is σ = 1011103027200000. Its totient is φ = 49585548902400.

The previous prime is 230549421070069. The next prime is 230549421070091. The reversal of 230549421070080 is 80070124945032.

230549421070080 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 494 + 2 + 10 + 70 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (230549421070069) and next prime (230549421070091).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34009352131 + ... + 34009358909.

It is an arithmetic number, because the mean of its divisors is an integer number (438846800000).

Almost surely, 2^{230549421070080} is an apocalyptic number.

230549421070080 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 230549421070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505551513600000).

230549421070080 is an abundant number, since it is smaller than the sum of its proper divisors (780553606129920).

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

230549421070080 is a wasteful number, since it uses less digits than its factorization.

230549421070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 230549421070080 in words is "two hundred thirty trillion, five hundred forty-nine billion, four hundred twenty-one million, seventy thousand, eighty".