238945732945920 has 10368 divisors, whose sum is σ = 1296631454227200. Its totient is φ = 40865460387840.

The previous prime is 238945732945859. The next prime is 238945732945957. The reversal of 238945732945920 is 29549237549832.

238945732945920 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 4 + 5 + 7 + 3 + 29 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

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 863 ways as a sum of consecutive naturals, for example, 12576091207671 + ... + 12576091207689.

It is an arithmetic number, because the mean of its divisors is an integer number (125060904150).

Almost surely, 2^{238945732945920} is an apocalyptic number.

238945732945920 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 238945732945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648315727113600).

238945732945920 is an abundant number, since it is smaller than the sum of its proper divisors (1057685721281280).

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

238945732945920 is a wasteful number, since it uses less digits than its factorization.

238945732945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 238945732945920 in words is "two hundred thirty-eight trillion, nine hundred forty-five billion, seven hundred thirty-two million, nine hundred forty-five thousand, nine hundred twenty".