13945517822880 has 144 divisors (see below), whose sum is σ = 54387519548544. Its totient is φ = 3187546928640.

The previous prime is 13945517822861. The next prime is 13945517822891. The reversal of 13945517822880 is 8822871554931.

13945517822880 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 551 + 78 + 2 + 2 + 8 + 8 + 0 = 666.

13945517822880 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691731876 + ... + 691752035.

It is an arithmetic number, because the mean of its divisors is an integer number (377691107976).

Almost surely, 2^{13945517822880} is an apocalyptic number.

13945517822880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13945517822880 is an abundant number, since it is smaller than the sum of its proper divisors (40442001725664).

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

13945517822880 is a wasteful number, since it uses less digits than its factorization.

13945517822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383483939 (or 1383483928 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 13945517822880 in words is "thirteen trillion, nine hundred forty-five billion, five hundred seventeen million, eight hundred twenty-two thousand, eight hundred eighty".