1083439501456 has 135 divisors (see below), whose sum is σ = 2340479889153. Its totient is φ = 485634839040.

The previous prime is 1083439501453. The next prime is 1083439501481. The reversal of 1083439501456 is 6541059343801.

The square root of 1083439501456 is 1040884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 583873261456 + 499566240000 = 764116^2 + 706800^2 .

It is a super-2 number, since 2×1083439501456² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1083439501453) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2002660546 + ... + 2002661086.

Almost surely, 2^{1083439501456} is an apocalyptic number.

1083439501456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1083439501456 is the 1040884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083439501456

1083439501456 is an abundant number, since it is smaller than the sum of its proper divisors (1257040387697).

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

1083439501456 is an frugal number, since it uses more digits than its factorization.

1083439501456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 1083439501456 by its sum of digits (49), we get a square (53088535571344 = 7286188²).

The spelling of 1083439501456 in words is "one trillion, eighty-three billion, four hundred thirty-nine million, five hundred one thousand, four hundred fifty-six".