239995116152064 has 2304 divisors, whose sum is σ = 922686062592000. Its totient is φ = 60584205975552.

The previous prime is 239995116151991. The next prime is 239995116152131. The reversal of 239995116152064 is 460251611599932.

239995116152064 is a `hidden beast` number, since 2 + 3 + 9 + 9 + 9 + 5 + 1 + 1 + 615 + 2 + 0 + 6 + 4 = 666.

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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 239995116151992 and 239995116152010.

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, 187642779777 + ... + 187642781055.

Almost surely, 2^{239995116152064} is an apocalyptic number.

239995116152064 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 239995116152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461343031296000).

239995116152064 is an abundant number, since it is smaller than the sum of its proper divisors (682690946439936).

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

239995116152064 is a wasteful number, since it uses less digits than its factorization.

239995116152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 239995116152064 in words is "two hundred thirty-nine trillion, nine hundred ninety-five billion, one hundred sixteen million, one hundred fifty-two thousand, sixty-four".