238827891456 has 432 divisors, whose sum is σ = 903711594240. Its totient is φ = 58767482880.

The previous prime is 238827891427. The next prime is 238827891503. The reversal of 238827891456 is 654198728832.

238827891456 is a `hidden beast` number, since 2 + 3 + 88 + 27 + 89 + 1 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 238827891393 and 238827891402.

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, 3335326 + ... + 3406178.

Almost surely, 2^238827891456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238827891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451855797120).

238827891456 is an abundant number, since it is smaller than the sum of its proper divisors (664883702784).

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

238827891456 is a wasteful number, since it uses less digits than its factorization.

238827891456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70912 (or 70895 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 238827891456 in words is "two hundred thirty-eight billion, eight hundred twenty-seven million, eight hundred ninety-one thousand, four hundred fifty-six".