13923201600 has 1008 divisors, whose sum is σ = 63972155520. Its totient is φ = 2786918400.

The previous prime is 13923201533. The next prime is 13923201623. The reversal of 13923201600 is 610232931.

13923201600 is a `hidden beast` number, since 1 + 39 + 2 + 3 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32154984 + ... + 32155416.

It is an arithmetic number, because the mean of its divisors is an integer number (63464440).

Almost surely, 2^13923201600 is an apocalyptic number.

13923201600 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 13923201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986077760).

13923201600 is an abundant number, since it is smaller than the sum of its proper divisors (50048953920).

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

13923201600 is a wasteful number, since it uses less digits than its factorization.

13923201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13923201600 in words is "thirteen billion, nine hundred twenty-three million, two hundred one thousand, six hundred".