238346278272 has 512 divisors, whose sum is σ = 758077056000. Its totient is φ = 73540583424.

The previous prime is 238346278271. The next prime is 238346278273. The reversal of 238346278272 is 272872643832.

238346278272 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 4 + 627 + 8 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (238346278271) and next prime (238346278273).

It is a super-2 number, since 2×238346278272² (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238346278271) 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, 468263554 + ... + 468264062.

It is an arithmetic number, because the mean of its divisors is an integer number (1480619250).

Almost surely, 2^238346278272 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 238346278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379038528000).

238346278272 is an abundant number, since it is smaller than the sum of its proper divisors (519730777728).

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

238346278272 is a wasteful number, since it uses less digits than its factorization.

238346278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 717 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 238346278272 in words is "two hundred thirty-eight billion, three hundred forty-six million, two hundred seventy-eight thousand, two hundred seventy-two".