445225433352084 has 768 divisors, whose sum is σ = 1556368321536000. Its totient is φ = 108735105024000.

The previous prime is 445225433352061. The next prime is 445225433352097. The reversal of 445225433352084 is 480253334522544.

445225433352084 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 2 + 5 + 4 + 3 + 33 + 520 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 445225433352084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7280486052 + ... + 7280547204.

It is an arithmetic number, because the mean of its divisors is an integer number (2026521252000).

Almost surely, 2^{445225433352084} is an apocalyptic number.

445225433352084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445225433352084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778184160768000).

445225433352084 is an abundant number, since it is smaller than the sum of its proper divisors (1111142888183916).

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

445225433352084 is a wasteful number, since it uses less digits than its factorization.

445225433352084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62266 (or 62244 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 54.

The spelling of 445225433352084 in words is "four hundred forty-five trillion, two hundred twenty-five billion, four hundred thirty-three million, three hundred fifty-two thousand, eighty-four".