1342116864 has 220 divisors, whose sum is σ = 4375143168. Its totient is φ = 406425600.

The previous prime is 1342116857. The next prime is 1342116869. The reversal of 1342116864 is 4686112431.

1342116864 is a `hidden beast` number, since 13 + 421 + 168 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342116869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 911649 + ... + 913119.

Almost surely, 2^1342116864 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 1342116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187571584).

1342116864 is an abundant number, since it is smaller than the sum of its proper divisors (3033026304).

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

1342116864 is a wasteful number, since it uses less digits than its factorization.

1342116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1487 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1342116864 is about 36634.9131840107. The cubic root of 1342116864 is about 1103.0540100523.

The spelling of 1342116864 in words is "one billion, three hundred forty-two million, one hundred sixteen thousand, eight hundred sixty-four".