238098540684960 has 576 divisors, whose sum is σ = 862289988618240. Its totient is φ = 59620425891840.

The previous prime is 238098540684959. The next prime is 238098540685007. The reversal of 238098540684960 is 69486045890832.

It is a happy number.

238098540684960 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 9 + 85 + 406 + 84 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 20111366721 + ... + 20111378559.

It is an arithmetic number, because the mean of its divisors is an integer number (1497031230240).

Almost surely, 2^{238098540684960} is an apocalyptic number.

238098540684960 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 238098540684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431144994309120).

238098540684960 is an abundant number, since it is smaller than the sum of its proper divisors (624191447933280).

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

238098540684960 is a wasteful number, since it uses less digits than its factorization.

238098540684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13701 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 238098540684960 in words is "two hundred thirty-eight trillion, ninety-eight billion, five hundred forty million, six hundred eighty-four thousand, nine hundred sixty".