445228176906 has 128 divisors (see below), whose sum is σ = 1055841661440. Its totient is φ = 138769956864.

The previous prime is 445228176797. The next prime is 445228176983. The reversal of 445228176906 is 609671822544.

445228176906 is a `hidden beast` number, since 44 + 522 + 8 + 1 + 76 + 9 + 0 + 6 = 666.

It is a super-2 number, since 2×445228176906² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10223530 + ... + 10266986.

It is an arithmetic number, because the mean of its divisors is an integer number (8248762980).

Almost surely, 2^445228176906 is an apocalyptic number.

445228176906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 445228176906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527920830720).

445228176906 is an abundant number, since it is smaller than the sum of its proper divisors (610613484534).

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

445228176906 is a wasteful number, since it uses less digits than its factorization.

445228176906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43677 (or 43671 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 445228176906 in words is "four hundred forty-five billion, two hundred twenty-eight million, one hundred seventy-six thousand, nine hundred six".