938116512 has 96 divisors (see below), whose sum is σ = 2742284160. Its totient is φ = 312007680.

The previous prime is 938116511. The next prime is 938116523. The reversal of 938116512 is 215611839.

938116512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×938116512² = 1760125180174092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (938116511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511437 + ... + 513267.

It is an arithmetic number, because the mean of its divisors is an integer number (28565460).

Almost surely, 2^938116512 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 938116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371142080).

938116512 is an abundant number, since it is smaller than the sum of its proper divisors (1804167648).

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

938116512 is a wasteful number, since it uses less digits than its factorization.

938116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2429 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 938116512 is about 30628.6877289903. The cubic root of 938116512 is about 978.9314022041.

The spelling of 938116512 in words is "nine hundred thirty-eight million, one hundred sixteen thousand, five hundred twelve".