14691054545664 has 288 divisors, whose sum is σ = 46148035670016. Its totient is φ = 4060168519680.

The previous prime is 14691054545549. The next prime is 14691054545729. The reversal of 14691054545664 is 46654545019641.

It is a super-2 number, since 2×14691054545664² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14691054545598 and 14691054545607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382789644 + ... + 382828020.

Almost surely, 2^{14691054545664} is an apocalyptic number.

14691054545664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14691054545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23074017835008).

14691054545664 is an abundant number, since it is smaller than the sum of its proper divisors (31456981124352).

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

14691054545664 is a wasteful number, since it uses less digits than its factorization.

14691054545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40731 (or 40717 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 14691054545664 in words is "fourteen trillion, six hundred ninety-one billion, fifty-four million, five hundred forty-five thousand, six hundred sixty-four".