1284315761664 has 616 divisors, whose sum is σ = 4194802140480. Its totient is φ = 390471155712.

The previous prime is 1284315761653. The next prime is 1284315761693. The reversal of 1284315761664 is 4661675134821.

1284315761664 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 3 + 1 + 576 + 1 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1284315761664.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 863695129 + ... + 863696615.

Almost surely, 2^{1284315761664} 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 1284315761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097401070240).

1284315761664 is an abundant number, since it is smaller than the sum of its proper divisors (2910486378816).

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

1284315761664 is an equidigital number, since it uses as much as digits as its factorization.

1284315761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1594 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 1284315761664 in words is "one trillion, two hundred eighty-four billion, three hundred fifteen million, seven hundred sixty-one thousand, six hundred sixty-four".