13743740242764 has 144 divisors (see below), whose sum is σ = 40986935248896. Its totient is φ = 3799925395200.

The previous prime is 13743740242663. The next prime is 13743740242787. The reversal of 13743740242764 is 46724204734731.

13743740242764 is a `hidden beast` number, since 137 + 4 + 3 + 7 + 402 + 42 + 7 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13743740242764.

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, 253917624 + ... + 253971744.

It is an arithmetic number, because the mean of its divisors is an integer number (284631494784).

Almost surely, 2^{13743740242764} is an apocalyptic number.

13743740242764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13743740242764 is an abundant number, since it is smaller than the sum of its proper divisors (27243195006132).

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

13743740242764 is a wasteful number, since it uses less digits than its factorization.

13743740242764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86676 (or 86671 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 13743740242764 in words is "thirteen trillion, seven hundred forty-three billion, seven hundred forty million, two hundred forty-two thousand, seven hundred sixty-four".