13365141804000 has 3072 divisors, whose sum is σ = 63289175040000. Its totient is φ = 2721425817600.

The previous prime is 13365141803987. The next prime is 13365141804023. The reversal of 13365141804000 is 40814156331.

13365141804000 is a `hidden beast` number, since 1 + 3 + 3 + 65 + 14 + 180 + 400 + 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 511 ways as a sum of consecutive naturals, for example, 11965211442 + ... + 11965212558.

It is an arithmetic number, because the mean of its divisors is an integer number (20601945000).

Almost surely, 2^{13365141804000} is an apocalyptic number.

13365141804000 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 13365141804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31644587520000).

13365141804000 is an abundant number, since it is smaller than the sum of its proper divisors (49924033236000).

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

13365141804000 is a wasteful number, since it uses less digits than its factorization.

13365141804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13365141804000 in words is "thirteen trillion, three hundred sixty-five billion, one hundred forty-one million, eight hundred four thousand".