84179402112 has 768 divisors, whose sum is σ = 279872006400. Its totient is φ = 22199795712.

The previous prime is 84179402107. The next prime is 84179402113. The reversal of 84179402112 is 21120497148.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84179402113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1014209623 + ... + 1014209705.

It is an arithmetic number, because the mean of its divisors is an integer number (364416675).

Almost surely, 2^84179402112 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 84179402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139936003200).

84179402112 is an abundant number, since it is smaller than the sum of its proper divisors (195692604288).

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

84179402112 is a wasteful number, since it uses less digits than its factorization.

84179402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 84179402112 in words is "eighty-four billion, one hundred seventy-nine million, four hundred two thousand, one hundred twelve".