238011863040000 has 4320 divisors, whose sum is σ = 1069299197842590. Its totient is φ = 50833391616000.

The previous prime is 238011863039851. The next prime is 238011863040031. The reversal of 238011863040000 is 40368110832.

238011863040000 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 1 + 18 + 630 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4822837641216 + 233189025398784 = 2196096^2 + 15270528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 3260436479964 + ... + 3260436480036.

Almost surely, 2^{238011863040000} is an apocalyptic number.

238011863040000 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 238011863040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534649598921295).

238011863040000 is an abundant number, since it is smaller than the sum of its proper divisors (831287334802590).

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

238011863040000 is an frugal number, since it uses more digits than its factorization.

238011863040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 238011863040000 in words is "two hundred thirty-eight trillion, eleven billion, eight hundred sixty-three million, forty thousand".