84166154688 has 448 divisors, whose sum is σ = 290978758656. Its totient is φ = 20832768000.

The previous prime is 84166154687. The next prime is 84166154701. The reversal of 84166154688 is 88645166148.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84166154687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30704998 + ... + 30707738.

Almost surely, 2^84166154688 is an apocalyptic number.

84166154688 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 84166154688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145489379328).

84166154688 is an abundant number, since it is smaller than the sum of its proper divisors (206812603968).

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

84166154688 is a wasteful number, since it uses less digits than its factorization.

84166154688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2862 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The spelling of 84166154688 in words is "eighty-four billion, one hundred sixty-six million, one hundred fifty-four thousand, six hundred eighty-eight".