1365689478816 has 288 divisors, whose sum is σ = 4344601322880. Its totient is φ = 419507610624.

The previous prime is 1365689478809. The next prime is 1365689478871. The reversal of 1365689478816 is 6188749865631.

1365689478816 is a `hidden beast` number, since 1 + 3 + 6 + 568 + 9 + 47 + 8 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61955925 + ... + 61977963.

It is an arithmetic number, because the mean of its divisors is an integer number (15085421260).

Almost surely, 2^{1365689478816} is an apocalyptic number.

1365689478816 is a gapful number since it is divisible by the number (16) 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 1365689478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172300661440).

1365689478816 is an abundant number, since it is smaller than the sum of its proper divisors (2978911844064).

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

1365689478816 is a wasteful number, since it uses less digits than its factorization.

1365689478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690 (or 22670 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 1365689478816 in words is "one trillion, three hundred sixty-five billion, six hundred eighty-nine million, four hundred seventy-eight thousand, eight hundred sixteen".