803872548864 has 1152 divisors, whose sum is σ = 3032647188480. Its totient is φ = 200724480000.

The previous prime is 803872548863. The next prime is 803872548893. The reversal of 803872548864 is 468845278308.

803872548864 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 7 + 2 + 548 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×803872548864² (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 not an unprimeable number, because it can be changed into a prime (803872548863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5323659189 + ... + 5323659339.

It is an arithmetic number, because the mean of its divisors is an integer number (2632506240).

Almost surely, 2^803872548864 is an apocalyptic number.

803872548864 is a gapful number since it is divisible by the number (84) 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 803872548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516323594240).

803872548864 is an abundant number, since it is smaller than the sum of its proper divisors (2228774639616).

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

803872548864 is a wasteful number, since it uses less digits than its factorization.

803872548864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 803872548864 in words is "eight hundred three billion, eight hundred seventy-two million, five hundred forty-eight thousand, eight hundred sixty-four".