445196813967360 has 3360 divisors, whose sum is σ = 2104825789059840. Its totient is φ = 88979838861312.

The previous prime is 445196813967307. The next prime is 445196813967371. The reversal of 445196813967360 is 63769318691544.

445196813967360 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 96 + 81 + 396 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40154843737 + ... + 40154854823.

It is an arithmetic number, because the mean of its divisors is an integer number (626436246744).

Almost surely, 2^{445196813967360} is an apocalyptic number.

445196813967360 is a gapful number since it is divisible by the number (40) 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 445196813967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052412894529920).

445196813967360 is an abundant number, since it is smaller than the sum of its proper divisors (1659628975092480).

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

445196813967360 is a wasteful number, since it uses less digits than its factorization.

445196813967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 445196813967360 in words is "four hundred forty-five trillion, one hundred ninety-six billion, eight hundred thirteen million, nine hundred sixty-seven thousand, three hundred sixty".