238842548100 has 288 divisors, whose sum is σ = 827697024000. Its totient is φ = 58735272960.

The previous prime is 238842548089. The next prime is 238842548201. The reversal of 238842548100 is 1845248832.

238842548100 is a `hidden beast` number, since 2 + 3 + 88 + 425 + 48 + 100 = 666.

It is a super-2 number, since 2×238842548100² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 45241261 + ... + 45246539.

It is an arithmetic number, because the mean of its divisors is an integer number (2873948000).

Almost surely, 2^238842548100 is an apocalyptic number.

238842548100 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 238842548100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413848512000).

238842548100 is an abundant number, since it is smaller than the sum of its proper divisors (588854475900).

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

238842548100 is a wasteful number, since it uses less digits than its factorization.

238842548100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 238842548100 in words is "two hundred thirty-eight billion, eight hundred forty-two million, five hundred forty-eight thousand, one hundred".