238613316480 has 2304 divisors, whose sum is σ = 1152469684800. Its totient is φ = 46324776960.

The previous prime is 238613316449. The next prime is 238613316503. The reversal of 238613316480 is 84613316832.

238613316480 is a `hidden beast` number, since 2 + 38 + 6 + 133 + 1 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1741702972 + ... + 1741703108.

Almost surely, 2^238613316480 is an apocalyptic number.

238613316480 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 238613316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576234842400).

238613316480 is an abundant number, since it is smaller than the sum of its proper divisors (913856368320).

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

238613316480 is a wasteful number, since it uses less digits than its factorization.

238613316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 238613316480 in words is "two hundred thirty-eight billion, six hundred thirteen million, three hundred sixteen thousand, four hundred eighty".