1364461164 has 72 divisors (see below), whose sum is σ = 3818837568. Its totient is φ = 407293920.

The previous prime is 1364461159. The next prime is 1364461169. The reversal of 1364461164 is 4611644631.

1364461164 is a `hidden beast` number, since 1 + 3 + 644 + 6 + 1 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1364461159) and next prime (1364461169).

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 not an unprimeable number, because it can be changed into a prime (1364461169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819 + ... + 52245.

Almost surely, 2^1364461164 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 1364461164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909418784).

1364461164 is an abundant number, since it is smaller than the sum of its proper divisors (2454376404).

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

1364461164 is a wasteful number, since it uses less digits than its factorization.

1364461164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51515 (or 51510 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1364461164 is about 36938.6134552990. The cubic root of 1364461164 is about 1109.1417665969.

The spelling of 1364461164 in words is "one billion, three hundred sixty-four million, four hundred sixty-one thousand, one hundred sixty-four".