803854291968 has 792 divisors, whose sum is σ = 2999565063360. Its totient is φ = 211945144320.

The previous prime is 803854291957. The next prime is 803854291969. The reversal of 803854291968 is 869192458308.

803854291968 is a `hidden beast` number, since 80 + 3 + 8 + 542 + 9 + 1 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803854291969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228951333 + ... + 228954843.

Almost surely, 2^803854291968 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 803854291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499782531680).

803854291968 is an abundant number, since it is smaller than the sum of its proper divisors (2195710771392).

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

803854291968 is a wasteful number, since it uses less digits than its factorization.

803854291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 803854291968 in words is "eight hundred three billion, eight hundred fifty-four million, two hundred ninety-one thousand, nine hundred sixty-eight".