1363726892016 has 160 divisors (see below), whose sum is σ = 4027263468800. Its totient is φ = 441512259840.

The previous prime is 1363726891937. The next prime is 1363726892023. The reversal of 1363726892016 is 6102986273631.

1363726892016 is a `hidden beast` number, since 1 + 3 + 6 + 372 + 68 + 9 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9052155 + ... + 9201573.

It is an arithmetic number, because the mean of its divisors is an integer number (25170396680).

Almost surely, 2^{1363726892016} is an apocalyptic number.

1363726892016 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 1363726892016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013631734400).

1363726892016 is an abundant number, since it is smaller than the sum of its proper divisors (2663536576784).

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

1363726892016 is a wasteful number, since it uses less digits than its factorization.

1363726892016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150044 (or 150032 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1363726892016 in words is "one trillion, three hundred sixty-three billion, seven hundred twenty-six million, eight hundred ninety-two thousand, sixteen".