230061416793600 has 960 divisors, whose sum is σ = 897813073428480. Its totient is φ = 50819302195200.

The previous prime is 230061416793587. The next prime is 230061416793629. The reversal of 230061416793600 is 6397614160032.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×230061416793600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 230061416793600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6191251821 + ... + 6191288979.

It is an arithmetic number, because the mean of its divisors is an integer number (935221951488).

Almost surely, 2^{230061416793600} is an apocalyptic number.

230061416793600 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 230061416793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448906536714240).

230061416793600 is an abundant number, since it is smaller than the sum of its proper divisors (667751656634880).

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

230061416793600 is a wasteful number, since it uses less digits than its factorization.

230061416793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37971 (or 37950 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 230061416793600 in words is "two hundred thirty trillion, sixty-one billion, four hundred sixteen million, seven hundred ninety-three thousand, six hundred".