445007023664456 has 64 divisors (see below), whose sum is σ = 1005688972414080. Its totient is φ = 182100060820480.

The previous prime is 445007023664419. The next prime is 445007023664579. The reversal of 445007023664456 is 654466320700544.

It is a super-2 number, since 2×445007023664456² (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6466587071 + ... + 6466655886.

It is an arithmetic number, because the mean of its divisors is an integer number (15713890193970).

Almost surely, 2^{445007023664456} is an apocalyptic number.

445007023664456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

445007023664456 is an abundant number, since it is smaller than the sum of its proper divisors (560681948749624).

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

445007023664456 is a wasteful number, since it uses less digits than its factorization.

445007023664456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933243014 (or 12933243010 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 56.

The spelling of 445007023664456 in words is "four hundred forty-five trillion, seven billion, twenty-three million, six hundred sixty-four thousand, four hundred fifty-six".