13746277247040 has 1792 divisors, whose sum is σ = 56306830540800. Its totient is φ = 3128761810944.

The previous prime is 13746277247039. The next prime is 13746277247177. The reversal of 13746277247040 is 4074277264731.

13746277247040 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 62 + 7 + 72 + 470 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18158886342 + ... + 18158887098.

It is an arithmetic number, because the mean of its divisors is an integer number (31421222400).

Almost surely, 2^{13746277247040} is an apocalyptic number.

13746277247040 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 13746277247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153415270400).

13746277247040 is an abundant number, since it is smaller than the sum of its proper divisors (42560553293760).

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

13746277247040 is a wasteful number, since it uses less digits than its factorization.

13746277247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 13746277247040 in words is "thirteen trillion, seven hundred forty-six billion, two hundred seventy-seven million, two hundred forty-seven thousand, forty".