1033364463768 has 192 divisors, whose sum is σ = 3449935944000. Its totient is φ = 272109404160.

The previous prime is 1033364463737. The next prime is 1033364463773. The reversal of 1033364463768 is 8673644633301.

1033364463768 is a `hidden beast` number, since 103 + 3 + 3 + 6 + 4 + 463 + 76 + 8 = 666.

It is a super-2 number, since 2×1033364463768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4076808 + ... + 4322856.

It is an arithmetic number, because the mean of its divisors is an integer number (17968416375).

Almost surely, 2^{1033364463768} is an apocalyptic number.

1033364463768 is a gapful number since it is divisible by the number (18) 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 1033364463768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724967972000).

1033364463768 is an abundant number, since it is smaller than the sum of its proper divisors (2416571480232).

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

1033364463768 is a wasteful number, since it uses less digits than its factorization.

1033364463768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246722 (or 246715 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 1033364463768 in words is "one trillion, thirty-three billion, three hundred sixty-four million, four hundred sixty-three thousand, seven hundred sixty-eight".