445369431168 has 384 divisors, whose sum is σ = 1369641312000. Its totient is φ = 138667769856.

The previous prime is 445369431137. The next prime is 445369431233. The reversal of 445369431168 is 861134963544.

It is a happy number.

445369431168 is a `hidden beast` number, since 4 + 4 + 536 + 9 + 43 + 1 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139744071 + ... + 139747257.

It is an arithmetic number, because the mean of its divisors is an integer number (3566774250).

Almost surely, 2^445369431168 is an apocalyptic number.

445369431168 is a gapful number since it is divisible by the number (48) 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 445369431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684820656000).

445369431168 is an abundant number, since it is smaller than the sum of its proper divisors (924271880832).

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

445369431168 is a wasteful number, since it uses less digits than its factorization.

445369431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3357 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 445369431168 in words is "four hundred forty-five billion, three hundred sixty-nine million, four hundred thirty-one thousand, one hundred sixty-eight".