1363690611360 has 2016 divisors, whose sum is σ = 6217141392000. Its totient is φ = 279353733120.

The previous prime is 1363690611287. The next prime is 1363690611401. The reversal of 1363690611360 is 631160963631.

1363690611360 is a `hidden beast` number, since 1 + 3 + 636 + 9 + 0 + 6 + 1 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1363690611360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 6852716541 + ... + 6852716739.

It is an arithmetic number, because the mean of its divisors is an integer number (3083899500).

Almost surely, 2^{1363690611360} is an apocalyptic number.

1363690611360 is a gapful number since it is divisible by the number (10) 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 1363690611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108570696000).

1363690611360 is an abundant number, since it is smaller than the sum of its proper divisors (4853450780640).

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

1363690611360 is a wasteful number, since it uses less digits than its factorization.

1363690611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 1363690611360 in words is "one trillion, three hundred sixty-three billion, six hundred ninety million, six hundred eleven thousand, three hundred sixty".