1035864034816 has 160 divisors (see below), whose sum is σ = 2254704439680. Its totient is φ = 472579301376.

The previous prime is 1035864034769. The next prime is 1035864034817. The reversal of 1035864034816 is 6184304685301.

It is a super-3 number, since 3×1035864034816³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1035864034816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035864034817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389567695 + ... + 389570353.

It is an arithmetic number, because the mean of its divisors is an integer number (14091902748).

Almost surely, 2^{1035864034816} is an apocalyptic number.

1035864034816 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 1035864034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127352219840).

1035864034816 is an abundant number, since it is smaller than the sum of its proper divisors (1218840404864).

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

1035864034816 is a wasteful number, since it uses less digits than its factorization.

1035864034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 1035864034816 in words is "one trillion, thirty-five billion, eight hundred sixty-four million, thirty-four thousand, eight hundred sixteen".