1284146864 has 240 divisors, whose sum is σ = 3474402624. Its totient is φ = 447068160.

The previous prime is 1284146839. The next prime is 1284146887. The reversal of 1284146864 is 4686414821.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 6518414 + ... + 6518610.

Almost surely, 2^1284146864 is an apocalyptic number.

1284146864 is a gapful number since it is divisible by the number (14) 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 1284146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737201312).

1284146864 is an abundant number, since it is smaller than the sum of its proper divisors (2190255760).

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

1284146864 is a wasteful number, since it uses less digits than its factorization.

1284146864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 1284146864 is about 35834.9949630246. The cubic root of 1284146864 is about 1086.9383160844.

The spelling of 1284146864 in words is "one billion, two hundred eighty-four million, one hundred forty-six thousand, eight hundred sixty-four".