8004858611456 has 432 divisors, whose sum is σ = 20051742036480. Its totient is φ = 3121658265600.

The previous prime is 8004858611389. The next prime is 8004858611471. The reversal of 8004858611456 is 6541168584008.

It is a super-2 number, since 2×8004858611456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249185805 + ... + 2249189363.

Almost surely, 2^{8004858611456} is an apocalyptic number.

8004858611456 is a gapful number since it is divisible by the number (86) 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 8004858611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025871018240).

8004858611456 is an abundant number, since it is smaller than the sum of its proper divisors (12046883425024).

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

8004858611456 is a wasteful number, since it uses less digits than its factorization.

8004858611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 56.

The spelling of 8004858611456 in words is "eight trillion, four billion, eight hundred fifty-eight million, six hundred eleven thousand, four hundred fifty-six".