1445312814 has 96 divisors (see below), whose sum is σ = 3309465600. Its totient is φ = 420024000.

The previous prime is 1445312797. The next prime is 1445312831. The reversal of 1445312814 is 4182135441.

It is an interprime number because it is at equal distance from previous prime (1445312797) and next prime (1445312831).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3353179 + ... + 3353609.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^1445312814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445312814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

1445312814 is an abundant number, since it is smaller than the sum of its proper divisors (1864152786).

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

1445312814 is a wasteful number, since it uses less digits than its factorization.

1445312814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 1445312814 is about 38017.2699440662. The cubic root of 1445312814 is about 1130.6302939418.

The spelling of 1445312814 in words is "one billion, four hundred forty-five million, three hundred twelve thousand, eight hundred fourteen".