10138085249296 has 15 divisors (see below), whose sum is σ = 19642564846821. Its totient is φ = 5069036256576.

The previous prime is 10138085249207. The next prime is 10138085249309. The reversal of 10138085249296 is 69294258083101.

It is a happy number.

The square root of 10138085249296 is 3184036.

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., 9067108634896 + 1070976614400 = 3011164^2 + 1034880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10138085249296.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12338140 + ... + 13134148.

Almost surely, 2^{10138085249296} is an apocalyptic number.

10138085249296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10138085249296 is the 3184036-th square number.

It is an amenable number.

10138085249296 is a deficient number, since it is larger than the sum of its proper divisors (9504479597525).

10138085249296 is an frugal number, since it uses more digits than its factorization.

10138085249296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592026 (or 796011 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 10138085249296 in words is "ten trillion, one hundred thirty-eight billion, eighty-five million, two hundred forty-nine thousand, two hundred ninety-six".