13746146400 has 648 divisors, whose sum is σ = 57655372320. Its totient is φ = 3071416320.

The previous prime is 13746146339. The next prime is 13746146413. The reversal of 13746146400 is 464164731.

13746146400 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 6 + 1 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16581186 + ... + 16582014.

It is an arithmetic number, because the mean of its divisors is an integer number (88974340).

Almost surely, 2^13746146400 is an apocalyptic number.

13746146400 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 13746146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28827686160).

13746146400 is an abundant number, since it is smaller than the sum of its proper divisors (43909225920).

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

13746146400 is a wasteful number, since it uses less digits than its factorization.

13746146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13746146400 in words is "thirteen billion, seven hundred forty-six million, one hundred forty-six thousand, four hundred".