13810045363200 has 3696 divisors, whose sum is σ = 59925744864000. Its totient is φ = 3130266746880.

The previous prime is 13810045363199. The next prime is 13810045363243. The reversal of 13810045363200 is 236354001831.

13810045363200 is a `hidden beast` number, since 1 + 3 + 8 + 10 + 0 + 4 + 5 + 3 + 632 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 174810700761 + ... + 174810700839.

Almost surely, 2^{13810045363200} is an apocalyptic number.

13810045363200 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 13810045363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29962872432000).

13810045363200 is an abundant number, since it is smaller than the sum of its proper divisors (46115699500800).

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

13810045363200 is a wasteful number, since it uses less digits than its factorization.

13810045363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13810045363200 in words is "thirteen trillion, eight hundred ten billion, forty-five million, three hundred sixty-three thousand, two hundred".