84672631134 has 72 divisors (see below), whose sum is σ = 227034364752. Its totient is φ = 22331237760.

The previous prime is 84672631117. The next prime is 84672631157. The reversal of 84672631134 is 43113627648.

84672631134 is a `hidden beast` number, since 8 + 4 + 6 + 7 + 2 + 631 + 1 + 3 + 4 = 666.

It is a super-4 number, since 4×84672631134⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a self number, because there is not a number n which added to its sum of digits gives 84672631134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1966887 + ... + 2009474.

It is an arithmetic number, because the mean of its divisors is an integer number (3153255066).

Almost surely, 2^84672631134 is an apocalyptic number.

84672631134 is an abundant number, since it is smaller than the sum of its proper divisors (142361733618).

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

84672631134 is a wasteful number, since it uses less digits than its factorization.

84672631134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976402 (or 3976386 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

It can be divided in two parts, 84672 and 631134, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 84672631134 in words is "eighty-four billion, six hundred seventy-two million, six hundred thirty-one thousand, one hundred thirty-four".