14045736824460 has 192 divisors, whose sum is σ = 49208134348800. Its totient is φ = 3295187481600.

The previous prime is 14045736824423. The next prime is 14045736824461. The reversal of 14045736824460 is 6442863754041.

14045736824460 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 573 + 6 + 8 + 2 + 4 + 4 + 60 = 666.

14045736824460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 14045736824397 and 14045736824406.

It is not an unprimeable number, because it can be changed into a prime (14045736824461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37954605 + ... + 38322884.

It is an arithmetic number, because the mean of its divisors is an integer number (256292366400).

Almost surely, 2^{14045736824460} is an apocalyptic number.

14045736824460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14045736824460 is an abundant number, since it is smaller than the sum of its proper divisors (35162397524340).

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

14045736824460 is a wasteful number, since it uses less digits than its factorization.

14045736824460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76277549 (or 76277541 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 14045736824460 in words is "fourteen trillion, forty-five billion, seven hundred thirty-six million, eight hundred twenty-four thousand, four hundred sixty".