13819151977744 has 45 divisors (see below), whose sum is σ = 26839441728567. Its totient is φ = 6892884808992.

The previous prime is 13819151977711. The next prime is 13819151977747. The reversal of 13819151977744 is 44777915191831.

The square root of 13819151977744 is 3717412.

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

It is a super-2 number, since 2×13819151977744² (a number of 27 digits) contains 22 as substring.

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 13819151977744.

It is not an unprimeable number, because it can be changed into a prime (13819151977747) 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, 8133696607 + ... + 8133698305.

Almost surely, 2^{13819151977744} is an apocalyptic number.

13819151977744 is the 3717412-nd square number.

It is an amenable number.

13819151977744 is a deficient number, since it is larger than the sum of its proper divisors (13020289750823).

13819151977744 is an frugal number, since it uses more digits than its factorization.

13819151977744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 2248 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 67.

The spelling of 13819151977744 in words is "thirteen trillion, eight hundred nineteen billion, one hundred fifty-one million, nine hundred seventy-seven thousand, seven hundred forty-four".