14201976672 has 192 divisors, whose sum is σ = 45452352960. Its totient is φ = 4287209472.

The previous prime is 14201976641. The next prime is 14201976697. The reversal of 14201976672 is 27667910241.

It is a super-2 number, since 2×14201976672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583368 + ... + 607224.

It is an arithmetic number, because the mean of its divisors is an integer number (236731005).

Almost surely, 2^14201976672 is an apocalyptic number.

14201976672 is a gapful number since it is divisible by the number (12) 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 14201976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726176480).

14201976672 is an abundant number, since it is smaller than the sum of its proper divisors (31250376288).

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

14201976672 is a wasteful number, since it uses less digits than its factorization.

14201976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23928 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14201976672 in words is "fourteen billion, two hundred one million, nine hundred seventy-six thousand, six hundred seventy-two".