1445456511456 has 48 divisors (see below), whose sum is σ = 3795677714304. Its totient is φ = 481646853504.

The previous prime is 1445456511439. The next prime is 1445456511553. The reversal of 1445456511456 is 6541156545441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1445456511399 and 1445456511408.

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, 2416756 + ... + 2954931.

It is an arithmetic number, because the mean of its divisors is an integer number (79076619048).

Almost surely, 2^{1445456511456} is an apocalyptic number.

1445456511456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1445456511456 is an abundant number, since it is smaller than the sum of its proper divisors (2350221202848).

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

1445456511456 is a wasteful number, since it uses less digits than its factorization.

1445456511456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374503 (or 5374495 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 51.

The spelling of 1445456511456 in words is "one trillion, four hundred forty-five billion, four hundred fifty-six million, five hundred eleven thousand, four hundred fifty-six".