874834100086848 has 224 divisors, whose sum is σ = 2538879904899072. Its totient is φ = 263654037350400.

The previous prime is 874834100086799. The next prime is 874834100086861. The reversal of 874834100086848 is 848680001438478.

It is a super-2 number, since 2×874834100086848² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1812198915 + ... + 1812681597.

It is an arithmetic number, because the mean of its divisors is an integer number (11334285289728).

Almost surely, 2^{874834100086848} is an apocalyptic number.

874834100086848 is a gapful number since it is divisible by the number (88) 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 874834100086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269439952449536).

874834100086848 is an abundant number, since it is smaller than the sum of its proper divisors (1664045804812224).

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

874834100086848 is a wasteful number, since it uses less digits than its factorization.

874834100086848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487393 (or 487383 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 69.

The spelling of 874834100086848 in words is "eight hundred seventy-four trillion, eight hundred thirty-four billion, one hundred million, eighty-six thousand, eight hundred forty-eight".