445314363413544 has 64 divisors (see below), whose sum is σ = 1237047825408000. Its totient is φ = 148430503226880.

The previous prime is 445314363413533. The next prime is 445314363413551.

445314363413544 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 1 + 436 + 34 + 135 + 44 = 666.

445314363413544 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 48682792 + ... + 57102039.

It is an arithmetic number, because the mean of its divisors is an integer number (19328872272000).

Almost surely, 2^{445314363413544} is an apocalyptic number.

It is an amenable number.

445314363413544 is an abundant number, since it is smaller than the sum of its proper divisors (791733461994456).

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

445314363413544 is a wasteful number, since it uses less digits than its factorization.

445314363413544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105804335 (or 105804325 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 445314363413544 in words is "four hundred forty-five trillion, three hundred fourteen billion, three hundred sixty-three million, four hundred thirteen thousand, five hundred forty-four".