13951599513856 has 81 divisors (see below), whose sum is σ = 28459562791639. Its totient is φ = 6826003937792.

The previous prime is 13951599513833. The next prime is 13951599513857. The reversal of 13951599513856 is 65831599515931.

It is a happy number.

The square root of 13951599513856 is 3735184.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13951599513857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2808855885 + ... + 2808860851.

Almost surely, 2^{13951599513856} is an apocalyptic number.

13951599513856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13951599513856 is the 3735184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13951599513856

13951599513856 is an abundant number, since it is smaller than the sum of its proper divisors (14507963277783).

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

13951599513856 is an frugal number, since it uses more digits than its factorization.

13951599513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 5016 counting only the distinct ones).

The product of its digits is 196830000, while the sum is 70.

The spelling of 13951599513856 in words is "thirteen trillion, nine hundred fifty-one billion, five hundred ninety-nine million, five hundred thirteen thousand, eight hundred fifty-six".