14107484160 has 1008 divisors, whose sum is σ = 62932738752. Its totient is φ = 2890137600.

The previous prime is 14107484141. The next prime is 14107484179. The reversal of 14107484160 is 6148470141.

14107484160 is a `hidden beast` number, since 1 + 4 + 10 + 7 + 484 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (14107484141) and next prime (14107484179).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×14107484160² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198696925 + ... + 198696995.

Almost surely, 2^14107484160 is an apocalyptic number.

14107484160 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 14107484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31466369376).

14107484160 is an abundant number, since it is smaller than the sum of its proper divisors (48825254592).

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

14107484160 is a wasteful number, since it uses less digits than its factorization.

14107484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14107484160 in words is "fourteen billion, one hundred seven million, four hundred eighty-four thousand, one hundred sixty".