1361641365 has 192 divisors, whose sum is σ = 3019161600. Its totient is φ = 553651200.

The previous prime is 1361641339. The next prime is 1361641387. The reversal of 1361641365 is 5631461631.

1361641365 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 641 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 1361641365 - 2⁶ = 1361641301 is a prime.

Its product of digits (38880) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7606846 + ... + 7607024.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2^1361641365 is an apocalyptic number.

1361641365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361641365 is an abundant number, since it is smaller than the sum of its proper divisors (1657520235).

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

1361641365 is a wasteful number, since it uses less digits than its factorization.

1361641365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1361641365 is about 36900.4249975525. The cubic root of 1361641365 is about 1108.3771879055.

The spelling of 1361641365 in words is "one billion, three hundred sixty-one million, six hundred forty-one thousand, three hundred sixty-five".