14045046378624 has 768 divisors, whose sum is σ = 45088243200000. Its totient is φ = 4338595934208.

The previous prime is 14045046378617. The next prime is 14045046378703. The reversal of 14045046378624 is 42687364054041.

14045046378624 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 5 + 0 + 4 + 6 + 3 + 7 + 8 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7984675857 + ... + 7984677615.

It is an arithmetic number, because the mean of its divisors is an integer number (58708650000).

Almost surely, 2^{14045046378624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045046378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22544121600000).

14045046378624 is an abundant number, since it is smaller than the sum of its proper divisors (31043196821376).

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

14045046378624 is a wasteful number, since it uses less digits than its factorization.

14045046378624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2071 counting only the distinct ones).

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

The spelling of 14045046378624 in words is "fourteen trillion, forty-five billion, forty-six million, three hundred seventy-eight thousand, six hundred twenty-four".