445151209100112 has 120 divisors (see below), whose sum is σ = 1249680856184904. Its totient is φ = 147922451500032.

The previous prime is 445151209100083. The next prime is 445151209100183. The reversal of 445151209100112 is 211001902151544.

It is a happy number.

445151209100112 is a `hidden beast` number, since 4 + 4 + 51 + 512 + 0 + 91 + 0 + 0 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103411123776 + 445047797976336 = 321576^2 + 21096156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123533898 + ... + 127086294.

Almost surely, 2^{445151209100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445151209100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624840428092452).

445151209100112 is an abundant number, since it is smaller than the sum of its proper divisors (804529647084792).

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

445151209100112 is a wasteful number, since it uses less digits than its factorization.

445151209100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555117 (or 3555108 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 445151209100112 in words is "four hundred forty-five trillion, one hundred fifty-one billion, two hundred nine million, one hundred thousand, one hundred twelve".