14931778680 has 1024 divisors, whose sum is σ = 65802240000. Its totient is φ = 2943682560.

The previous prime is 14931778613. The next prime is 14931778721. The reversal of 14931778680 is 8687713941.

14931778680 is a `hidden beast` number, since 1 + 493 + 1 + 7 + 78 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481670265 + ... + 481670295.

It is an arithmetic number, because the mean of its divisors is an integer number (64260000).

Almost surely, 2^14931778680 is an apocalyptic number.

14931778680 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 14931778680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120000).

14931778680 is an abundant number, since it is smaller than the sum of its proper divisors (50870461320).

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

14931778680 is a wasteful number, since it uses less digits than its factorization.

14931778680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 14931778680 in words is "fourteen billion, nine hundred thirty-one million, seven hundred seventy-eight thousand, six hundred eighty".