238200748452576 has 576 divisors, whose sum is σ = 910084782297600. Its totient is φ = 59515741771776.

The previous prime is 238200748452523. The next prime is 238200748452599. The reversal of 238200748452576 is 675254847002832.

It is a happy number.

238200748452576 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 0 + 0 + 7 + 4 + 8 + 4 + 52 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4586170 + ... + 22303238.

It is an arithmetic number, because the mean of its divisors is an integer number (1580008302600).

Almost surely, 2^{238200748452576} is an apocalyptic number.

238200748452576 is a gapful number since it is divisible by the number (26) 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 238200748452576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455042391148800).

238200748452576 is an abundant number, since it is smaller than the sum of its proper divisors (671884033845024).

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

238200748452576 is a wasteful number, since it uses less digits than its factorization.

238200748452576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717133 (or 17717113 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 238200748452576 in words is "two hundred thirty-eight trillion, two hundred billion, seven hundred forty-eight million, four hundred fifty-two thousand, five hundred seventy-six".