445189010688 has 432 divisors, whose sum is σ = 1402129506960. Its totient is φ = 135279673344.

The previous prime is 445189010627. The next prime is 445189010723. The reversal of 445189010688 is 886010981544.

It is a happy number.

445189010688 is a `hidden beast` number, since 4 + 451 + 8 + 9 + 0 + 106 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7749633024 + 437439377664 = 88032^2 + 661392^2 .

It is a congruent number.

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, 401432278 + ... + 401433386.

It is an arithmetic number, because the mean of its divisors is an integer number (3245670155).

Almost surely, 2^445189010688 is an apocalyptic number.

445189010688 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 445189010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701064753480).

445189010688 is an abundant number, since it is smaller than the sum of its proper divisors (956940496272).

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

445189010688 is a wasteful number, since it uses less digits than its factorization.

445189010688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

It can be divided in two parts, 4451890 and 10688, that added together give a triangular number (4462578 = T₂₉₈₇).

The spelling of 445189010688 in words is "four hundred forty-five billion, one hundred eighty-nine million, ten thousand, six hundred eighty-eight".