238293763868160 has 4480 divisors, whose sum is σ = 1157740799846400. Its totient is φ = 45406067097600.

The previous prime is 238293763868077. The next prime is 238293763868177. The reversal of 238293763868160 is 61868367392832.

238293763868160 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 9 + 376 + 38 + 68 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 371753141440 + ... + 371753142080.

It is an arithmetic number, because the mean of its divisors is an integer number (258424285680).

Almost surely, 2^{238293763868160} is an apocalyptic number.

238293763868160 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 238293763868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578870399923200).

238293763868160 is an abundant number, since it is smaller than the sum of its proper divisors (919447035978240).

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

238293763868160 is a wasteful number, since it uses less digits than its factorization.

238293763868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 238293763868160 in words is "two hundred thirty-eight trillion, two hundred ninety-three billion, seven hundred sixty-three million, eight hundred sixty-eight thousand, one hundred sixty".