1033893138432 has 936 divisors, whose sum is σ = 3684029767488. Its totient is φ = 256451543040.

The previous prime is 1033893138413. The next prime is 1033893138469. The reversal of 1033893138432 is 2348313983301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1675677388 + ... + 1675678004.

Almost surely, 2^{1033893138432} is an apocalyptic number.

1033893138432 is a gapful number since it is divisible by the number (12) 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 1033893138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842014883744).

1033893138432 is an abundant number, since it is smaller than the sum of its proper divisors (2650136629056).

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

1033893138432 is a wasteful number, since it uses less digits than its factorization.

1033893138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 1033893138432 in words is "one trillion, thirty-three billion, eight hundred ninety-three million, one hundred thirty-eight thousand, four hundred thirty-two".