238706374468000 has 384 divisors, whose sum is σ = 626494222448640. Its totient is φ = 89188162560000.

The previous prime is 238706374467997. The next prime is 238706374468021. The reversal of 238706374468000 is 864473607832.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14107099540 + ... + 14107116460.

It is an arithmetic number, because the mean of its divisors is an integer number (1631495370960).

Almost surely, 2^{238706374468000} is an apocalyptic number.

238706374468000 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 238706374468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313247111224320).

238706374468000 is an abundant number, since it is smaller than the sum of its proper divisors (387787847980640).

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

238706374468000 is a wasteful number, since it uses less digits than its factorization.

238706374468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20929 (or 20911 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 238706374468000 in words is "two hundred thirty-eight trillion, seven hundred six billion, three hundred seventy-four million, four hundred sixty-eight thousand".