13924554448896 has 2240 divisors, whose sum is σ = 55150368134400. Its totient is φ = 3398575325184.

The previous prime is 13924554448789. The next prime is 13924554448921. The reversal of 13924554448896 is 69884445542931.

13924554448896 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 4 + 5 + 54 + 4 + 488 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60805914510 + ... + 60805914738.

It is an arithmetic number, because the mean of its divisors is an integer number (24620700060).

Almost surely, 2^{13924554448896} is an apocalyptic number.

13924554448896 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 13924554448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27575184067200).

13924554448896 is an abundant number, since it is smaller than the sum of its proper divisors (41225813685504).

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

13924554448896 is a wasteful number, since it uses less digits than its factorization.

13924554448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 326 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 13924554448896 in words is "thirteen trillion, nine hundred twenty-four billion, five hundred fifty-four million, four hundred forty-eight thousand, eight hundred ninety-six".