84158100899264 has 112 divisors (see below), whose sum is σ = 191192895548928. Its totient is φ = 36004597367808.

The previous prime is 84158100899261. The next prime is 84158100899273. The reversal of 84158100899264 is 46299800185148.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 84158100899264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84158100899261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545774827 + ... + 1545829269.

It is an arithmetic number, because the mean of its divisors is an integer number (1707079424544).

Almost surely, 2^{84158100899264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84158100899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95596447774464).

84158100899264 is an abundant number, since it is smaller than the sum of its proper divisors (107034794649664).

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

84158100899264 is a wasteful number, since it uses less digits than its factorization.

84158100899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60442 (or 60432 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 65.

The spelling of 84158100899264 in words is "eighty-four trillion, one hundred fifty-eight billion, one hundred million, eight hundred ninety-nine thousand, two hundred sixty-four".