238742048354304 has 624 divisors, whose sum is σ = 736745515712640. Its totient is φ = 68002637414400.

The previous prime is 238742048354279. The next prime is 238742048354351. The reversal of 238742048354304 is 403453840247832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44072740204 + ... + 44072745620.

Almost surely, 2^{238742048354304} is an apocalyptic number.

238742048354304 is a gapful number since it is divisible by the number (24) 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 238742048354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368372757856320).

238742048354304 is an abundant number, since it is smaller than the sum of its proper divisors (498003467358336).

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

238742048354304 is a wasteful number, since it uses less digits than its factorization.

238742048354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 57.

The spelling of 238742048354304 in words is "two hundred thirty-eight trillion, seven hundred forty-two billion, forty-eight million, three hundred fifty-four thousand, three hundred four".