14107874000 has 240 divisors, whose sum is σ = 37945519248. Its totient is φ = 5068800000.

The previous prime is 14107873991. The next prime is 14107874047. The reversal of 14107874000 is 47870141.

It can be written as a sum of positive squares in 8 ways, for example, as 2600592016 + 11507281984 = 50996^2 + 107272^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23473700 + ... + 23474300.

Almost surely, 2^14107874000 is an apocalyptic number.

14107874000 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 14107874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972759624).

14107874000 is an abundant number, since it is smaller than the sum of its proper divisors (23837645248).

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

14107874000 is a wasteful number, since it uses less digits than its factorization.

14107874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 14107874000 in words is "fourteen billion, one hundred seven million, eight hundred seventy-four thousand".