13912891200 has 378 divisors, whose sum is σ = 53555491314. Its totient is φ = 3424112640.

The previous prime is 13912891159. The next prime is 13912891207. The reversal of 13912891200 is 219821931.

It can be written as a sum of positive squares in 9 ways, for example, as 8313062976 + 5599828224 = 91176^2 + 74832^2 .

It is a super-4 number, since 4×13912891200⁴ (a number of 42 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13912891207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2430742 + ... + 2436458.

Almost surely, 2^13912891200 is an apocalyptic number.

13912891200 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 13912891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777745657).

13912891200 is an abundant number, since it is smaller than the sum of its proper divisors (39642600114).

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

13912891200 is a wasteful number, since it uses less digits than its factorization.

13912891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13912891200 in words is "thirteen billion, nine hundred twelve million, eight hundred ninety-one thousand, two hundred".