1081367449344 has 1296 divisors, whose sum is σ = 4194665485920. Its totient is φ = 275068846080.

The previous prime is 1081367449307. The next prime is 1081367449391. The reversal of 1081367449344 is 4439447631801.

1081367449344 is a `hidden beast` number, since 1 + 0 + 81 + 3 + 6 + 74 + 493 + 4 + 4 = 666.

1081367449344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×1081367449344³ (a number of 37 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1149167914 + ... + 1149168854.

Almost surely, 2^{1081367449344} is an apocalyptic number.

1081367449344 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 1081367449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097332742960).

1081367449344 is an abundant number, since it is smaller than the sum of its proper divisors (3113298036576).

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

1081367449344 is an equidigital number, since it uses as much as digits as its factorization.

1081367449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1081367449344 in words is "one trillion, eighty-one billion, three hundred sixty-seven million, four hundred forty-nine thousand, three hundred forty-four".