444745264053151 has 8 divisors (see below), whose sum is σ = 455599552943808. Its totient is φ = 433891301040000.

The previous prime is 444745264053119. The next prime is 444745264053179. The reversal of 444745264053151 is 151350462547444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444745264053151 - 2⁵ = 444745264053119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444745264053092 and 444745264053101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444745267053151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78705415 + ... + 84166696.

It is an arithmetic number, because the mean of its divisors is an integer number (56949944117976).

Almost surely, 2^{444745264053151} is an apocalyptic number.

444745264053151 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444745264053151 is a deficient number, since it is larger than the sum of its proper divisors (10854288890657).

444745264053151 is a wasteful number, since it uses less digits than its factorization.

444745264053151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162938753.

The product of its (nonzero) digits is 32256000, while the sum is 55.

The spelling of 444745264053151 in words is "four hundred forty-four trillion, seven hundred forty-five billion, two hundred sixty-four million, fifty-three thousand, one hundred fifty-one".