238054861353600 has 1344 divisors, whose sum is σ = 920969702827200. Its totient is φ = 60659667763200.

The previous prime is 238054861353563. The next prime is 238054861353601. The reversal of 238054861353600 is 6353168450832.

238054861353600 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 5 + 48 + 61 + 3 + 536 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (238054861353601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 78281768080 + ... + 78281771120.

Almost surely, 2^{238054861353600} is an apocalyptic number.

238054861353600 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 238054861353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460484851413600).

238054861353600 is an abundant number, since it is smaller than the sum of its proper divisors (682914841473600).

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

238054861353600 is a wasteful number, since it uses less digits than its factorization.

238054861353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 238054861353600 in words is "two hundred thirty-eight trillion, fifty-four billion, eight hundred sixty-one million, three hundred fifty-three thousand, six hundred".