1033399226496 has 512 divisors, whose sum is σ = 3565165363200. Its totient is φ = 257748074496.

The previous prime is 1033399226491. The next prime is 1033399226543. The reversal of 1033399226496 is 6946229933301.

It is a happy number.

It is a super-2 number, since 2×1033399226496² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033399226491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71523145 + ... + 71537591.

It is an arithmetic number, because the mean of its divisors is an integer number (6963213600).

Almost surely, 2^{1033399226496} is an apocalyptic number.

1033399226496 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 1033399226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782582681600).

1033399226496 is an abundant number, since it is smaller than the sum of its proper divisors (2531766136704).

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

1033399226496 is a wasteful number, since it uses less digits than its factorization.

1033399226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14596 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 57.

The spelling of 1033399226496 in words is "one trillion, thirty-three billion, three hundred ninety-nine million, two hundred twenty-six thousand, four hundred ninety-six".