1362161664 has 208 divisors, whose sum is σ = 4108605600. Its totient is φ = 445906944.

The previous prime is 1362161641. The next prime is 1362161693. The reversal of 1362161664 is 4661612631.

It is a happy number.

1362161664 is a `hidden beast` number, since 1 + 36 + 2 + 1 + 616 + 6 + 4 = 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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12054472 + ... + 12054584.

Almost surely, 2^1362161664 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 1362161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054302800).

1362161664 is an abundant number, since it is smaller than the sum of its proper divisors (2746443936).

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

1362161664 is a wasteful number, since it uses less digits than its factorization.

1362161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1362161664 is about 36907.4743649576. The cubic root of 1362161664 is about 1108.5183445321.

The spelling of 1362161664 in words is "one billion, three hundred sixty-two million, one hundred sixty-one thousand, six hundred sixty-four".