238232563920 has 480 divisors, whose sum is σ = 876975869952. Its totient is φ = 57605603328.

The previous prime is 238232563901. The next prime is 238232563931. The reversal of 238232563920 is 29365232832.

238232563920 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 3 + 2 + 5 + 639 + 2 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 127192104 + ... + 127193976.

Almost surely, 2^238232563920 is an apocalyptic number.

238232563920 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 238232563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438487934976).

238232563920 is an abundant number, since it is smaller than the sum of its proper divisors (638743306032).

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

238232563920 is a wasteful number, since it uses less digits than its factorization.

238232563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 238232563920 in words is "two hundred thirty-eight billion, two hundred thirty-two million, five hundred sixty-three thousand, nine hundred twenty".