803485933992 has 320 divisors, whose sum is σ = 2712010752000. Its totient is φ = 217112482944.

The previous prime is 803485933979. The next prime is 803485934089. The reversal of 803485933992 is 299339584308.

803485933992 is a `hidden beast` number, since 8 + 0 + 3 + 4 + 8 + 593 + 39 + 9 + 2 = 666.

It is a super-2 number, since 2×803485933992² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52306009 + ... + 52321367.

It is an arithmetic number, because the mean of its divisors is an integer number (8475033600).

Almost surely, 2^803485933992 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 803485933992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356005376000).

803485933992 is an abundant number, since it is smaller than the sum of its proper divisors (1908524818008).

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

803485933992 is a wasteful number, since it uses less digits than its factorization.

803485933992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16010 (or 15997 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 803485933992 in words is "eight hundred three billion, four hundred eighty-five million, nine hundred thirty-three thousand, nine hundred ninety-two".