445152464251544 has 16 divisors (see below), whose sum is σ = 953898137682000. Its totient is φ = 190779627536352.

The previous prime is 445152464251541. The next prime is 445152464251577.

445152464251544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56), and also a Moran number because the ratio is a prime number: 7949151147349 = 445152464251544 / (4 + 4 + 5 + 1 + 5 + 2 + 4 + 6 + 4 + 2 + 5 + 1 + 5 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 445152464251544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445152464251541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3974575573619 + ... + 3974575573730.

It is an arithmetic number, because the mean of its divisors is an integer number (59618633605125).

Almost surely, 2^{445152464251544} is an apocalyptic number.

It is an amenable number.

445152464251544 is an abundant number, since it is smaller than the sum of its proper divisors (508745673430456).

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

445152464251544 is a wasteful number, since it uses less digits than its factorization.

445152464251544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949151147362 (or 7949151147358 counting only the distinct ones).

The product of its digits is 61440000, while the sum is 56.

The spelling of 445152464251544 in words is "four hundred forty-five trillion, one hundred fifty-two billion, four hundred sixty-four million, two hundred fifty-one thousand, five hundred forty-four".