238455641952 has 144 divisors (see below), whose sum is σ = 740019151872. Its totient is φ = 72233429760.

The previous prime is 238455641933. The next prime is 238455641971. The reversal of 238455641952 is 259146554832.

238455641952 is a `hidden beast` number, since 2 + 3 + 84 + 556 + 4 + 1 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (238455641933) and next prime (238455641971).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×238455641952² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10021173 + ... + 10044939.

It is an arithmetic number, because the mean of its divisors is an integer number (5139021888).

Almost surely, 2^238455641952 is an apocalyptic number.

238455641952 is a gapful number since it is divisible by the number (22) 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 238455641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370009575936).

238455641952 is an abundant number, since it is smaller than the sum of its proper divisors (501563509920).

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

238455641952 is a wasteful number, since it uses less digits than its factorization.

238455641952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26961 (or 26950 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 238455641952 in words is "two hundred thirty-eight billion, four hundred fifty-five million, six hundred forty-one thousand, nine hundred fifty-two".