878142686842344 has 256 divisors, whose sum is σ = 2764249074892800. Its totient is φ = 225824062464000.

The previous prime is 878142686842321. The next prime is 878142686842367. The reversal of 878142686842344 is 443248686241878.

It is an interprime number because it is at equal distance from previous prime (878142686842321) and next prime (878142686842367).

It is a super-2 number, since 2×878142686842344² (a number of 31 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11246809497 + ... + 11246887575.

It is an arithmetic number, because the mean of its divisors is an integer number (10797847948800).

Almost surely, 2^{878142686842344} is an apocalyptic number.

878142686842344 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 878142686842344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382124537446400).

878142686842344 is an abundant number, since it is smaller than the sum of its proper divisors (1886106388050456).

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

878142686842344 is a wasteful number, since it uses less digits than its factorization.

878142686842344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138464 (or 138460 counting only the distinct ones).

The product of its digits is 3170893824, while the sum is 75.

The spelling of 878142686842344 in words is "eight hundred seventy-eight trillion, one hundred forty-two billion, six hundred eighty-six million, eight hundred forty-two thousand, three hundred forty-four".