14882165520768 has 2560 divisors, whose sum is σ = 59775248332800. Its totient is φ = 3568370319360.

The previous prime is 14882165520721. The next prime is 14882165520797. The reversal of 14882165520768 is 86702556128841.

14882165520768 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 2 + 1 + 6 + 552 + 0 + 76 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38257494718 + ... + 38257495106.

It is an arithmetic number, because the mean of its divisors is an integer number (23349706380).

Almost surely, 2^{14882165520768} is an apocalyptic number.

14882165520768 is a gapful number since it is divisible by the number (18) 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 14882165520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29887624166400).

14882165520768 is an abundant number, since it is smaller than the sum of its proper divisors (44893082812032).

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

14882165520768 is a wasteful number, since it uses less digits than its factorization.

14882165520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 14882165520768 in words is "fourteen trillion, eight hundred eighty-two billion, one hundred sixty-five million, five hundred twenty thousand, seven hundred sixty-eight".