1286417664 has 324 divisors, whose sum is σ = 4432847328. Its totient is φ = 351406080.

The previous prime is 1286417653. The next prime is 1286417677. The reversal of 1286417664 is 4667146821.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15498967 + ... + 15499049.

Almost surely, 2^1286417664 is an apocalyptic number.

1286417664 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 1286417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216423664).

1286417664 is an abundant number, since it is smaller than the sum of its proper divisors (3146429664).

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

1286417664 is an equidigital number, since it uses as much as digits as its factorization.

1286417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1286417664 is about 35866.6650805452. The cubic root of 1286417664 is about 1087.5786286391.

The spelling of 1286417664 in words is "one billion, two hundred eighty-six million, four hundred seventeen thousand, six hundred sixty-four".