445123141251552 has 96 divisors (see below), whose sum is σ = 1312863197738400. Its totient is φ = 146707252521984.

The previous prime is 445123141251497. The next prime is 445123141251563. The reversal of 445123141251552 is 255152141321544.

445123141251552 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 2 + 3 + 1 + 41 + 2 + 51 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×445123141251552² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445123141251498 and 445123141251507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2894242323 + ... + 2894396114.

It is an arithmetic number, because the mean of its divisors is an integer number (13675658309775).

Almost surely, 2^{445123141251552} is an apocalyptic number.

It is an amenable number.

445123141251552 is an abundant number, since it is smaller than the sum of its proper divisors (867740056486848).

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

445123141251552 is a wasteful number, since it uses less digits than its factorization.

445123141251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788638545 (or 5788638531 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The spelling of 445123141251552 in words is "four hundred forty-five trillion, one hundred twenty-three billion, one hundred forty-one million, two hundred fifty-one thousand, five hundred fifty-two".