14946874760 has 64 divisors (see below), whose sum is σ = 35295886080. Its totient is φ = 5685687040.

The previous prime is 14946874751. The next prime is 14946874801. The reversal of 14946874760 is 6747864941.

It is a super-2 number, since 2×14946874760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14946874696 and 14946874705.

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 15 ways as a sum of consecutive naturals, for example, 112205 + ... + 206115.

It is an arithmetic number, because the mean of its divisors is an integer number (551498220).

Almost surely, 2^14946874760 is an apocalyptic number.

14946874760 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 14946874760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647943040).

14946874760 is an abundant number, since it is smaller than the sum of its proper divisors (20349011320).

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

14946874760 is a wasteful number, since it uses less digits than its factorization.

14946874760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94118 (or 94114 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 14946874760 in words is "fourteen billion, nine hundred forty-six million, eight hundred seventy-four thousand, seven hundred sixty".