445454453444000 has 1536 divisors, whose sum is σ = 1503882374012928. Its totient is φ = 126240643584000.

The previous prime is 445454453443997. The next prime is 445454453444003. The reversal of 445454453444000 is 444354454544.

It is an interprime number because it is at equal distance from previous prime (445454453443997) and next prime (445454453444003).

It is a super-2 number, since 2×445454453444000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 445454453444000.

It is not an unprimeable number, because it can be changed into a prime (445454453444003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32460421139 + ... + 32460434861.

It is an arithmetic number, because the mean of its divisors is an integer number (979090087248).

Almost surely, 2^{445454453444000} is an apocalyptic number.

445454453444000 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 445454453444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751941187006464).

445454453444000 is an abundant number, since it is smaller than the sum of its proper divisors (1058427920568928).

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

445454453444000 is a wasteful number, since it uses less digits than its factorization.

445454453444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13868 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 50.

The spelling of 445454453444000 in words is "four hundred forty-five trillion, four hundred fifty-four billion, four hundred fifty-three million, four hundred forty-four thousand".