1445887812096 has 800 divisors, whose sum is σ = 5345286629760. Its totient is φ = 381164838912.

The previous prime is 1445887812073. The next prime is 1445887812101. The reversal of 1445887812096 is 6902187885441.

1445887812096 is a `hidden beast` number, since 1 + 4 + 458 + 8 + 78 + 1 + 20 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 637796755 + ... + 637799021.

Almost surely, 2^{1445887812096} is an apocalyptic number.

1445887812096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445887812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672643314880).

1445887812096 is an abundant number, since it is smaller than the sum of its proper divisors (3899398817664).

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

1445887812096 is an frugal number, since it uses more digits than its factorization.

1445887812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1445887812096 in words is "one trillion, four hundred forty-five billion, eight hundred eighty-seven million, eight hundred twelve thousand, ninety-six".