13793846400 has 528 divisors, whose sum is σ = 51812547810. Its totient is φ = 3627970560.

The previous prime is 13793846377. The next prime is 13793846447. The reversal of 13793846400 is 464839731.

It can be written as a sum of positive squares in 3 ways, for example, as 10615593024 + 3178253376 = 103032^2 + 56376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 188956764 + ... + 188956836.

Almost surely, 2^13793846400 is an apocalyptic number.

13793846400 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 13793846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25906273905).

13793846400 is an abundant number, since it is smaller than the sum of its proper divisors (38018701410).

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

13793846400 is an frugal number, since it uses more digits than its factorization.

13793846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13793846400 in words is "thirteen billion, seven hundred ninety-three million, eight hundred forty-six thousand, four hundred".