14746942080 has 256 divisors, whose sum is σ = 56247206400. Its totient is φ = 3629961216.

The previous prime is 14746942069. The next prime is 14746942117. The reversal of 14746942080 is 8024964741.

14746942080 is a `hidden beast` number, since 1 + 474 + 69 + 42 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 191817 + ... + 257463.

It is an arithmetic number, because the mean of its divisors is an integer number (219715650).

Almost surely, 2^14746942080 is an apocalyptic number.

14746942080 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 14746942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123603200).

14746942080 is an abundant number, since it is smaller than the sum of its proper divisors (41500264320).

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

14746942080 is a wasteful number, since it uses less digits than its factorization.

14746942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65688 (or 65670 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14746942080 in words is "fourteen billion, seven hundred forty-six million, nine hundred forty-two thousand, eighty".