13745977344000 has 2400 divisors, whose sum is σ = 57951902840832. Its totient is φ = 3224862720000.

The previous prime is 13745977343999. The next prime is 13745977344061. The reversal of 13745977344000 is 44377954731.

It is a happy number.

13745977344000 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 597 + 7 + 3 + 4 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×13745977344000² (a number of 27 digits) contains 22 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 159 ways as a sum of consecutive naturals, for example, 443418623985 + ... + 443418624015.

Almost surely, 2^{13745977344000} is an apocalyptic number.

13745977344000 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 13745977344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28975951420416).

13745977344000 is an abundant number, since it is smaller than the sum of its proper divisors (44205925496832).

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

13745977344000 is an frugal number, since it uses more digits than its factorization.

13745977344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 13745977344000 in words is "thirteen trillion, seven hundred forty-five billion, nine hundred seventy-seven million, three hundred forty-four thousand".