16480114560 has 768 divisors, whose sum is σ = 73139189760. Its totient is φ = 3323510784.

The previous prime is 16480114549. The next prime is 16480114561. The reversal of 16480114560 is 6541108461.

16480114560 is a `hidden beast` number, since 1 + 6 + 4 + 80 + 1 + 14 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16480114561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12054997 + ... + 12056363.

It is an arithmetic number, because the mean of its divisors is an integer number (95233320).

Almost surely, 2^16480114560 is an apocalyptic number.

16480114560 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 16480114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36569594880).

16480114560 is an abundant number, since it is smaller than the sum of its proper divisors (56659075200).

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

16480114560 is a wasteful number, since it uses less digits than its factorization.

16480114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16480114560 in words is "sixteen billion, four hundred eighty million, one hundred fourteen thousand, five hundred sixty".