14997285886464 has 640 divisors, whose sum is σ = 51335026490880. Its totient is φ = 4234480975872.

The previous prime is 14997285886409. The next prime is 14997285886523. The reversal of 14997285886464 is 46468858279941.

14997285886464 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 7 + 28 + 58 + 86 + 464 = 666.

14997285886464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4078672594 + ... + 4078676270.

It is an arithmetic number, because the mean of its divisors is an integer number (80210978892).

Almost surely, 2^{14997285886464} is an apocalyptic number.

14997285886464 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 14997285886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667513245440).

14997285886464 is an abundant number, since it is smaller than the sum of its proper divisors (36337740604416).

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

14997285886464 is a wasteful number, since it uses less digits than its factorization.

14997285886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4175 counting only the distinct ones).

The product of its digits is 6688604160, while the sum is 81.

The spelling of 14997285886464 in words is "fourteen trillion, nine hundred ninety-seven billion, two hundred eighty-five million, eight hundred eighty-six thousand, four hundred sixty-four".