238413922560 has 1440 divisors, whose sum is σ = 993648902400. Its totient is φ = 54013132800.

The previous prime is 238413922559. The next prime is 238413922577. The reversal of 238413922560 is 65229314832.

238413922560 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 1 + 392 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1600093366 + ... + 1600093514.

It is an arithmetic number, because the mean of its divisors is an integer number (690033960).

Almost surely, 2^238413922560 is an apocalyptic number.

238413922560 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 238413922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496824451200).

238413922560 is an abundant number, since it is smaller than the sum of its proper divisors (755234979840).

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

238413922560 is a wasteful number, since it uses less digits than its factorization.

238413922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 238413922560 in words is "two hundred thirty-eight billion, four hundred thirteen million, nine hundred twenty-two thousand, five hundred sixty".