1082385043264 has 224 divisors, whose sum is σ = 2601413867520. Its totient is φ = 436495951872.

The previous prime is 1082385043253. The next prime is 1082385043273. The reversal of 1082385043264 is 4623405832801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1082385043264² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1101103317 + ... + 1101104299.

Almost surely, 2^{1082385043264} is an apocalyptic number.

1082385043264 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 1082385043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300706933760).

1082385043264 is an abundant number, since it is smaller than the sum of its proper divisors (1519028824256).

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

1082385043264 is a wasteful number, since it uses less digits than its factorization.

1082385043264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 1082385043264 in words is "one trillion, eighty-two billion, three hundred eighty-five million, forty-three thousand, two hundred sixty-four".