230477665851840 has 896 divisors, whose sum is σ = 819096169881600. Its totient is φ = 54441827942400.

The previous prime is 230477665851821. The next prime is 230477665851859. The reversal of 230477665851840 is 48158566774032.

It is an interprime number because it is at equal distance from previous prime (230477665851821) and next prime (230477665851859).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17340875595 + ... + 17340888885.

Almost surely, 2^{230477665851840} is an apocalyptic number.

230477665851840 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 230477665851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409548084940800).

230477665851840 is an abundant number, since it is smaller than the sum of its proper divisors (588618504029760).

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

230477665851840 is a wasteful number, since it uses less digits than its factorization.

230477665851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13681 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 230477665851840 in words is "two hundred thirty trillion, four hundred seventy-seven billion, six hundred sixty-five million, eight hundred fifty-one thousand, eight hundred forty".