938956416 has 128 divisors (see below), whose sum is σ = 2667047040. Its totient is φ = 291962880.

The previous prime is 938956409. The next prime is 938956453. The reversal of 938956416 is 614659839.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×938956416² = 1763278302295130112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360816 + ... + 363408.

It is an arithmetic number, because the mean of its divisors is an integer number (20836305).

Almost surely, 2^938956416 is an apocalyptic number.

938956416 is a gapful number since it is divisible by the number (96) 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 938956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333523520).

938956416 is an abundant number, since it is smaller than the sum of its proper divisors (1728090624).

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

938956416 is a wasteful number, since it uses less digits than its factorization.

938956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2662 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 938956416 is about 30642.3957287938. The cubic root of 938956416 is about 979.2234637036.

The spelling of 938956416 in words is "nine hundred thirty-eight million, nine hundred fifty-six thousand, four hundred sixteen".