804972505323168 has 1152 divisors, whose sum is σ = 2897415418060800. Its totient is φ = 207565196986368.

The previous prime is 804972505323139. The next prime is 804972505323211. The reversal of 804972505323168 is 861323505279408.

804972505323168 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 7 + 2 + 5 + 0 + 532 + 31 + 68 = 666.

It is a super-2 number, since 2×804972505323168² (a number of 31 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 191 ways as a sum of consecutive naturals, for example, 317043128043 + ... + 317043130581.

It is an arithmetic number, because the mean of its divisors is an integer number (2515117550400).

It is a 1-persistent number, because it is pandigital, but 2⋅804972505323168 = 1609945010646336 is not.

Almost surely, 2^{804972505323168} 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 804972505323168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448707709030400).

804972505323168 is an abundant number, since it is smaller than the sum of its proper divisors (2092442912737632).

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

804972505323168 is a wasteful number, since it uses less digits than its factorization.

804972505323168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 804972505323168 in words is "eight hundred four trillion, nine hundred seventy-two billion, five hundred five million, three hundred twenty-three thousand, one hundred sixty-eight".