10139684416 has 63 divisors (see below), whose sum is σ = 20691057297. Its totient is φ = 4930076160.

The previous prime is 10139684411. The next prime is 10139684417. The reversal of 10139684416 is 61448693101.

The square root of 10139684416 is 100696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 488586816 + 9651097600 = 22104^2 + 98240^2 .

It is a super-2 number, since 2×10139684416² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10139684411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33028135 + ... + 33028441.

Almost surely, 2^10139684416 is an apocalyptic number.

10139684416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10139684416 is the 100696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10139684416

10139684416 is an abundant number, since it is smaller than the sum of its proper divisors (10551372881).

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

10139684416 is an frugal number, since it uses more digits than its factorization.

10139684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10139684416 in words is "ten billion, one hundred thirty-nine million, six hundred eighty-four thousand, four hundred sixteen".