14445201340944 has 360 divisors, whose sum is σ = 46114053157536. Its totient is φ = 4374242611200.

The previous prime is 14445201340919. The next prime is 14445201340993. The reversal of 14445201340944 is 44904310254441.

14445201340944 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 520 + 1 + 34 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×14445201340944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14445201340944.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 716482224 + ... + 716502384.

Almost surely, 2^{14445201340944} 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 14445201340944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057026578768).

14445201340944 is an abundant number, since it is smaller than the sum of its proper divisors (31668851816592).

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

14445201340944 is a wasteful number, since it uses less digits than its factorization.

14445201340944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21729 (or 21700 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14445201340944 in words is "fourteen trillion, four hundred forty-five billion, two hundred one million, three hundred forty thousand, nine hundred forty-four".