13751918453376 has 512 divisors, whose sum is σ = 41623347916800. Its totient is φ = 4468906487808.

The previous prime is 13751918453321. The next prime is 13751918453389. The reversal of 13751918453376 is 67335481915731.

13751918453376 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 1 + 91 + 8 + 4 + 533 + 7 + 6 = 666.

It is a super-2 number, since 2×13751918453376² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6589322605 + ... + 6589324691.

It is an arithmetic number, because the mean of its divisors is an integer number (81295601400).

Almost surely, 2^{13751918453376} is an apocalyptic number.

13751918453376 is a gapful number since it is divisible by the number (16) 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 13751918453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20811673958400).

13751918453376 is an abundant number, since it is smaller than the sum of its proper divisors (27871429463424).

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

13751918453376 is a wasteful number, since it uses less digits than its factorization.

13751918453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2475 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 13751918453376 in words is "thirteen trillion, seven hundred fifty-one billion, nine hundred eighteen million, four hundred fifty-three thousand, three hundred seventy-six".