238555453752 has 768 divisors, whose sum is σ = 875826432000. Its totient is φ = 59439744000.

The previous prime is 238555453751. The next prime is 238555453753. The reversal of 238555453752 is 257354555832.

It is a happy number.

238555453752 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 5 + 54 + 537 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (238555453751) and next prime (238555453753).

It is a super-2 number, since 2×238555453752² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (25200000) is a multiple of the sum of its prime divisors (840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238555453751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340307002 + ... + 340307702.

It is an arithmetic number, because the mean of its divisors is an integer number (1140399000).

Almost surely, 2^238555453752 is an apocalyptic number.

238555453752 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 238555453752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437913216000).

238555453752 is an abundant number, since it is smaller than the sum of its proper divisors (637270978248).

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

238555453752 is a wasteful number, since it uses less digits than its factorization.

238555453752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its digits is 25200000, while the sum is 54.

The spelling of 238555453752 in words is "two hundred thirty-eight billion, five hundred fifty-five million, four hundred fifty-three thousand, seven hundred fifty-two".