445413121314544 has 40 divisors (see below), whose sum is σ = 924760977290640. Its totient is φ = 207080799126528.

The previous prime is 445413121314517. The next prime is 445413121314593.

445413121314544 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×445413121314544³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445413121314494 and 445413121314503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9864725859 + ... + 9864771010.

It is an arithmetic number, because the mean of its divisors is an integer number (23119024432266).

Almost surely, 2^{445413121314544} is an apocalyptic number.

It is an amenable number.

445413121314544 is an abundant number, since it is smaller than the sum of its proper divisors (479347855976096).

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

445413121314544 is a wasteful number, since it uses less digits than its factorization.

445413121314544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729496977 (or 19729496971 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

The spelling of 445413121314544 in words is "four hundred forty-five trillion, four hundred thirteen billion, one hundred twenty-one million, three hundred fourteen thousand, five hundred forty-four".