14754577680 has 200 divisors, whose sum is σ = 53942380800. Its totient is φ = 3727441152.

The previous prime is 14754577613. The next prime is 14754577693. The reversal of 14754577680 is 8677545741.

14754577680 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 4 + 577 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 63201 + ... + 183039.

It is an arithmetic number, because the mean of its divisors is an integer number (269711904).

Almost surely, 2^14754577680 is an apocalyptic number.

14754577680 is a gapful number since it is divisible by the number (10) 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 14754577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971190400).

14754577680 is an abundant number, since it is smaller than the sum of its proper divisors (39187803120).

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

14754577680 is a wasteful number, since it uses less digits than its factorization.

14754577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119883 (or 119868 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 14754577680 in words is "fourteen billion, seven hundred fifty-four million, five hundred seventy-seven thousand, six hundred eighty".