13794873241600 has 624 divisors, whose sum is σ = 38194528679424. Its totient is φ = 4899241984000.

The previous prime is 13794873241573. The next prime is 13794873241627. The reversal of 13794873241600 is 614237849731.

It is an interprime number because it is at equal distance from previous prime (13794873241573) and next prime (13794873241627).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18566450829 + ... + 18566451571.

It is an arithmetic number, because the mean of its divisors is an integer number (61209180576).

Almost surely, 2^{13794873241600} is an apocalyptic number.

13794873241600 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 13794873241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097264339712).

13794873241600 is an abundant number, since it is smaller than the sum of its proper divisors (24399655437824).

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

13794873241600 is a wasteful number, since it uses less digits than its factorization.

13794873241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 13794873241600 in words is "thirteen trillion, seven hundred ninety-four billion, eight hundred seventy-three million, two hundred forty-one thousand, six hundred".