238754334672 has 320 divisors, whose sum is σ = 814595481600. Its totient is φ = 65529285120.

The previous prime is 238754334653. The next prime is 238754334677. The reversal of 238754334672 is 276433457832.

238754334672 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 543 + 34 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238754334677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8825647 + ... + 8852657.

It is an arithmetic number, because the mean of its divisors is an integer number (2545610880).

Almost surely, 2^238754334672 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 238754334672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407297740800).

238754334672 is an abundant number, since it is smaller than the sum of its proper divisors (575841146928).

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

238754334672 is a wasteful number, since it uses less digits than its factorization.

238754334672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27151 (or 27139 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 238754334672 in words is "two hundred thirty-eight billion, seven hundred fifty-four million, three hundred thirty-four thousand, six hundred seventy-two".