1361986164 has 270 divisors, whose sum is σ = 4558985970. Its totient is φ = 353263680.

The previous prime is 1361986141. The next prime is 1361986187. The reversal of 1361986164 is 4616891631.

1361986164 is a `hidden beast` number, since 13 + 6 + 19 + 8 + 616 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1361986141) and next prime (1361986187).

It can be written as a sum of positive squares in only one way, i.e., 929762064 + 432224100 = 30492^2 + 20790^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1920642 + ... + 1921350.

Almost surely, 2^1361986164 is an apocalyptic number.

1361986164 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 1361986164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279492985).

1361986164 is an abundant number, since it is smaller than the sum of its proper divisors (3196999806).

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

1361986164 is a wasteful number, since it uses less digits than its factorization.

1361986164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 732 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1361986164 is about 36905.0967211847. The cubic root of 1361986164 is about 1108.4707355661.

The spelling of 1361986164 in words is "one billion, three hundred sixty-one million, nine hundred eighty-six thousand, one hundred sixty-four".