1035849582864 has 240 divisors, whose sum is σ = 3018287960064. Its totient is φ = 331350912000.

The previous prime is 1035849582829. The next prime is 1035849582877. The reversal of 1035849582864 is 4682859485301.

1035849582864 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 8 + 49 + 582 + 8 + 6 + 4 = 666.

It is a super-3 number, since 3×1035849582864³ (a number of 37 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 145829137 + ... + 145836239.

Almost surely, 2^{1035849582864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035849582864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509143980032).

1035849582864 is an abundant number, since it is smaller than the sum of its proper divisors (1982438377200).

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

1035849582864 is a wasteful number, since it uses less digits than its factorization.

1035849582864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 1035849582864 in words is "one trillion, thirty-five billion, eight hundred forty-nine million, five hundred eighty-two thousand, eight hundred sixty-four".