13972200192 has 216 divisors, whose sum is σ = 42012907440. Its totient is φ = 4580352000.

The previous prime is 13972200191. The next prime is 13972200217. The reversal of 13972200192 is 29100227931.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (13972200191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34843192 + ... + 34843592.

Almost surely, 2^13972200192 is an apocalyptic number.

13972200192 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 13972200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21006453720).

13972200192 is an abundant number, since it is smaller than the sum of its proper divisors (28040707248).

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

13972200192 is an frugal number, since it uses more digits than its factorization.

13972200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 13972200192 in words is "thirteen billion, nine hundred seventy-two million, two hundred thousand, one hundred ninety-two".