1445630337216 has 252 divisors, whose sum is σ = 4496041173000. Its totient is φ = 443903016960.

The previous prime is 1445630337191. The next prime is 1445630337227. The reversal of 1445630337216 is 6127330365441.

1445630337216 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 630 + 3 + 3 + 7 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48559776 + ... + 48589536.

Almost surely, 2^{1445630337216} is an apocalyptic number.

1445630337216 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 1445630337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248020586500).

1445630337216 is an abundant number, since it is smaller than the sum of its proper divisors (3050410835784).

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

1445630337216 is a wasteful number, since it uses less digits than its factorization.

1445630337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30304 (or 30278 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1445630337216 in words is "one trillion, four hundred forty-five billion, six hundred thirty million, three hundred thirty-seven thousand, two hundred sixteen".