84115105632 has 72 divisors (see below), whose sum is σ = 239242722264. Its totient is φ = 28033634304.

The previous prime is 84115105631. The next prime is 84115105639. The reversal of 84115105632 is 23650151148.

84115105632 is a `hidden beast` number, since 8 + 4 + 1 + 1 + 5 + 10 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84115105631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961088 + ... + 2003520.

It is an arithmetic number, because the mean of its divisors is an integer number (3322815587).

Almost surely, 2^84115105632 is an apocalyptic number.

It is an amenable number.

84115105632 is an abundant number, since it is smaller than the sum of its proper divisors (155127616632).

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

84115105632 is a wasteful number, since it uses less digits than its factorization.

84115105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49332 (or 49321 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 84115105632 in words is "eighty-four billion, one hundred fifteen million, one hundred five thousand, six hundred thirty-two".