1364401164 has 192 divisors, whose sum is σ = 4075868160. Its totient is φ = 346214400.

The previous prime is 1364401151. The next prime is 1364401177. The reversal of 1364401164 is 4611044631.

It is an interprime number because it is at equal distance from previous prime (1364401151) and next prime (1364401177).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946014 + ... + 1946714.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^1364401164 is an apocalyptic number.

1364401164 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 1364401164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

1364401164 is an abundant number, since it is smaller than the sum of its proper divisors (2711466996).

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

1364401164 is a wasteful number, since it uses less digits than its factorization.

1364401164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1364401164 is about 36937.8012881113. The cubic root of 1364401164 is about 1109.1255087795.

Adding to 1364401164 its reverse (4611044631), we get a palindrome (5975445795).

The spelling of 1364401164 in words is "one billion, three hundred sixty-four million, four hundred one thousand, one hundred sixty-four".