13723708046880 has 768 divisors, whose sum is σ = 51182313799680. Its totient is φ = 3058427953152.

The previous prime is 13723708046819. The next prime is 13723708046921. The reversal of 13723708046880 is 8864080732731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 13723708046880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5107444897 + ... + 5107447583.

It is an arithmetic number, because the mean of its divisors is an integer number (66643637760).

Almost surely, 2^{13723708046880} is an apocalyptic number.

13723708046880 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 13723708046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25591156899840).

13723708046880 is an abundant number, since it is smaller than the sum of its proper divisors (37458605752800).

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

13723708046880 is a wasteful number, since it uses less digits than its factorization.

13723708046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 13723708046880 in words is "thirteen trillion, seven hundred twenty-three billion, seven hundred eight million, forty-six thousand, eight hundred eighty".