238023664320 has 448 divisors, whose sum is σ = 884355010560. Its totient is φ = 53714534400.

The previous prime is 238023664313. The next prime is 238023664331. The reversal of 238023664320 is 23466320832.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7334530 + ... + 7366910.

It is an arithmetic number, because the mean of its divisors is an integer number (1974006720).

Almost surely, 2^238023664320 is an apocalyptic number.

238023664320 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 238023664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442177505280).

238023664320 is an abundant number, since it is smaller than the sum of its proper divisors (646331346240).

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

238023664320 is a wasteful number, since it uses less digits than its factorization.

238023664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32464 (or 32454 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 238023664320 in words is "two hundred thirty-eight billion, twenty-three million, six hundred sixty-four thousand, three hundred twenty".