85478101144884 has 72 divisors (see below), whose sum is σ = 246937737184320. Its totient is φ = 24422215658112.

The previous prime is 85478101144847. The next prime is 85478101144921. The reversal of 85478101144884 is 48844110187458.

It is a happy number.

85478101144884 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 8 + 101 + 1 + 448 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (85478101144847) and next prime (85478101144921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80733712 + ... + 81785624.

Almost surely, 2^{85478101144884} is an apocalyptic number.

85478101144884 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85478101144884 is an abundant number, since it is smaller than the sum of its proper divisors (161459636039436).

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

85478101144884 is a wasteful number, since it uses less digits than its factorization.

85478101144884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374389 (or 1374384 counting only the distinct ones).

The product of its (nonzero) digits is 36700160, while the sum is 63.

The spelling of 85478101144884 in words is "eighty-five trillion, four hundred seventy-eight billion, one hundred one million, one hundred forty-four thousand, eight hundred eighty-four".