238646005678080 has 9600 divisors, whose sum is σ = 1268657040752640. Its totient is φ = 41278242816000.

The previous prime is 238646005678063. The next prime is 238646005678147. The reversal of 238646005678080 is 80876500646832.

238646005678080 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 4 + 60 + 0 + 567 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×238646005678080² (a number of 30 digits) contains 22 as substring.

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 = 238646005677999 and 238646005678017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3912229601250 + ... + 3912229601310.

Almost surely, 2^{238646005678080} is an apocalyptic number.

238646005678080 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 238646005678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634328520376320).

238646005678080 is an abundant number, since it is smaller than the sum of its proper divisors (1030011035074560).

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

238646005678080 is a wasteful number, since it uses less digits than its factorization.

238646005678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 238646005678080 in words is "two hundred thirty-eight trillion, six hundred forty-six billion, five million, six hundred seventy-eight thousand, eighty".