13942546896784 has 135 divisors (see below), whose sum is σ = 29997764282577. Its totient is φ = 6273072960000.

The previous prime is 13942546896697. The next prime is 13942546896799. The reversal of 13942546896784 is 48769864524931.

The square root of 13942546896784 is 3733972.

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., 245678835600 + 13696868061184 = 495660^2 + 3700928^2 .

It is a super-2 number, since 2×13942546896784² (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 13942546896784.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18565308409 + ... + 18565309159.

Almost surely, 2^{13942546896784} is an apocalyptic number.

13942546896784 is the 3733972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13942546896784

13942546896784 is an abundant number, since it is smaller than the sum of its proper divisors (16055217385793).

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

13942546896784 is an frugal number, since it uses more digits than its factorization.

13942546896784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 877 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 76.

The spelling of 13942546896784 in words is "thirteen trillion, nine hundred forty-two billion, five hundred forty-six million, eight hundred ninety-six thousand, seven hundred eighty-four".