13641396715800 has 1536 divisors, whose sum is σ = 58817664000000. Its totient is φ = 2835358525440.

The previous prime is 13641396715717. The next prime is 13641396715811. The reversal of 13641396715800 is 851769314631.

13641396715800 is a `hidden beast` number, since 1 + 364 + 139 + 6 + 71 + 5 + 80 + 0 = 666.

It is a super-3 number, since 3×13641396715800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3728174371 + ... + 3728178029.

It is an arithmetic number, because the mean of its divisors is an integer number (38292750000).

Almost surely, 2^{13641396715800} is an apocalyptic number.

13641396715800 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 13641396715800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29408832000000).

13641396715800 is an abundant number, since it is smaller than the sum of its proper divisors (45176267284200).

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

13641396715800 is a wasteful number, since it uses less digits than its factorization.

13641396715800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13641396715800 in words is "thirteen trillion, six hundred forty-one billion, three hundred ninety-six million, seven hundred fifteen thousand, eight hundred".