14964094100 has 72 divisors (see below), whose sum is σ = 34205519040. Its totient is φ = 5666561280.

The previous prime is 14964094097. The next prime is 14964094177. The reversal of 14964094100 is 149046941.

It is a super-2 number, since 2×14964094100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5153249 + ... + 5156151.

Almost surely, 2^14964094100 is an apocalyptic number.

14964094100 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 14964094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102759520).

14964094100 is an abundant number, since it is smaller than the sum of its proper divisors (19241424940).

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

14964094100 is a wasteful number, since it uses less digits than its factorization.

14964094100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 14964094100 in words is "fourteen billion, nine hundred sixty-four million, ninety-four thousand, one hundred".