238083097824 has 480 divisors, whose sum is σ = 834972437376. Its totient is φ = 65595847680.

The previous prime is 238083097817. The next prime is 238083097927. The reversal of 238083097824 is 428790380832.

It is a super-2 number, since 2×238083097824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24829159 + ... + 24838745.

Almost surely, 2^238083097824 is an apocalyptic number.

238083097824 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 238083097824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417486218688).

238083097824 is an abundant number, since it is smaller than the sum of its proper divisors (596889339552).

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

238083097824 is a wasteful number, since it uses less digits than its factorization.

238083097824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 238083097824 in words is "two hundred thirty-eight billion, eighty-three million, ninety-seven thousand, eight hundred twenty-four".