84660135168 has 144 divisors (see below), whose sum is σ = 259788606336. Its totient is φ = 23974379520.

The previous prime is 84660135149. The next prime is 84660135211. The reversal of 84660135168 is 86153106648.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537808 + ... + 677168.

It is an arithmetic number, because the mean of its divisors is an integer number (1804087544).

Almost surely, 2^84660135168 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 84660135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129894303168).

84660135168 is an abundant number, since it is smaller than the sum of its proper divisors (175128471168).

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

84660135168 is a wasteful number, since it uses less digits than its factorization.

84660135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139500 (or 139486 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 84660135168 in words is "eighty-four billion, six hundred sixty million, one hundred thirty-five thousand, one hundred sixty-eight".