84251707889364 has 120 divisors (see below), whose sum is σ = 220401039778920. Its totient is φ = 28064726885376.

The previous prime is 84251707889353. The next prime is 84251707889413. The reversal of 84251707889364 is 46398870715248.

It is a happy number.

84251707889364 is a `hidden beast` number, since 8 + 4 + 2 + 51 + 70 + 78 + 89 + 364 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5537691432900 + 78714016456464 = 2353230^2 + 8872092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84251707889292 and 84251707889301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4784573392 + ... + 4784591000.

It is an arithmetic number, because the mean of its divisors is an integer number (1836675331491).

It is a 1-persistent number, because it is pandigital, but 2⋅84251707889364 = 168503415778728 is not.

Almost surely, 2^{84251707889364} is an apocalyptic number.

It is an amenable number.

84251707889364 is an abundant number, since it is smaller than the sum of its proper divisors (136149331889556).

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

84251707889364 is a wasteful number, since it uses less digits than its factorization.

84251707889364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26871 (or 26860 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 84251707889364 in words is "eighty-four trillion, two hundred fifty-one billion, seven hundred seven million, eight hundred eighty-nine thousand, three hundred sixty-four".