238077144000 has 1120 divisors, whose sum is σ = 945284408640. Its totient is φ = 58973184000.

The previous prime is 238077143963. The next prime is 238077144023. The reversal of 238077144000 is 441770832.

It is a happy number.

238077144000 is a `hidden beast` number, since 238 + 0 + 7 + 7 + 14 + 400 + 0 = 666.

238077144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 751031842 + ... + 751032158.

Almost surely, 2^238077144000 is an apocalyptic number.

238077144000 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 238077144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472642204320).

238077144000 is an abundant number, since it is smaller than the sum of its proper divisors (707207264640).

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

238077144000 is a wasteful number, since it uses less digits than its factorization.

238077144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 238077144000 in words is "two hundred thirty-eight billion, seventy-seven million, one hundred forty-four thousand".