13946751840 has 96 divisors (see below), whose sum is σ = 50208318720. Its totient is φ = 3187828224.

The previous prime is 13946751821. The next prime is 13946751857. The reversal of 13946751840 is 4815764931.

13946751840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13946751840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072050 + ... + 2078769.

It is an arithmetic number, because the mean of its divisors is an integer number (523003320).

Almost surely, 2^13946751840 is an apocalyptic number.

13946751840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946751840 is an abundant number, since it is smaller than the sum of its proper divisors (36261566880).

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

13946751840 is a wasteful number, since it uses less digits than its factorization.

13946751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150844 (or 4150836 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13946751840 in words is "thirteen billion, nine hundred forty-six million, seven hundred fifty-one thousand, eight hundred forty".