938578117272 has 128 divisors (see below), whose sum is σ = 2436186931200. Its totient is φ = 301130299008.

The previous prime is 938578117237. The next prime is 938578117307. The reversal of 938578117272 is 272711875839.

It is an interprime number because it is at equal distance from previous prime (938578117237) and next prime (938578117307).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 46771513 + ... + 46791575.

It is an arithmetic number, because the mean of its divisors is an integer number (19032710400).

Almost surely, 2^938578117272 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 938578117272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218093465600).

938578117272 is an abundant number, since it is smaller than the sum of its proper divisors (1497608813928).

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

938578117272 is a wasteful number, since it uses less digits than its factorization.

938578117272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20805 (or 20801 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 60.

The spelling of 938578117272 in words is "nine hundred thirty-eight billion, five hundred seventy-eight million, one hundred seventeen thousand, two hundred seventy-two".