14982701760 has 672 divisors, whose sum is σ = 59258972160. Its totient is φ = 3558297600.

The previous prime is 14982701737. The next prime is 14982701777. The reversal of 14982701760 is 6710728941.

It is a happy number.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45264795 + ... + 45265125.

Almost surely, 2^14982701760 is an apocalyptic number.

14982701760 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 14982701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29629486080).

14982701760 is an abundant number, since it is smaller than the sum of its proper divisors (44276270400).

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

14982701760 is a wasteful number, since it uses less digits than its factorization.

14982701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 14982701760 in words is "fourteen billion, nine hundred eighty-two million, seven hundred one thousand, seven hundred sixty".