234863990599680 has 3744 divisors, whose sum is σ = 975024180049920. Its totient is φ = 51894650142720.

The previous prime is 234863990599621. The next prime is 234863990599699. The reversal of 234863990599680 is 86995099368432.

234863990599680 is a `hidden beast` number, since 2 + 3 + 4 + 86 + 399 + 0 + 5 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×234863990599680² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234863990599680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1689668997051 + ... + 1689668997189.

Almost surely, 2^{234863990599680} is an apocalyptic number.

234863990599680 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 234863990599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487512090024960).

234863990599680 is an abundant number, since it is smaller than the sum of its proper divisors (740160189450240).

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

234863990599680 is a wasteful number, since it uses less digits than its factorization.

234863990599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 81.

The spelling of 234863990599680 in words is "two hundred thirty-four trillion, eight hundred sixty-three billion, nine hundred ninety million, five hundred ninety-nine thousand, six hundred eighty".