83149466729112 has 128 divisors (see below), whose sum is σ = 270105318489600. Its totient is φ = 23204502324864.

The previous prime is 83149466729093. The next prime is 83149466729117. The reversal of 83149466729112 is 21192766494138.

83149466729112 is a `hidden beast` number, since 8 + 3 + 1 + 4 + 9 + 466 + 72 + 91 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83149466729112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83149466729117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639388863 + ... + 639518894.

It is an arithmetic number, because the mean of its divisors is an integer number (2110197800700).

Almost surely, 2^{83149466729112} is an apocalyptic number.

It is an amenable number.

83149466729112 is an abundant number, since it is smaller than the sum of its proper divisors (186955851760488).

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

83149466729112 is a wasteful number, since it uses less digits than its factorization.

83149466729112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278907822 (or 1278907812 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 83149466729112 in words is "eighty-three trillion, one hundred forty-nine billion, four hundred sixty-six million, seven hundred twenty-nine thousand, one hundred twelve".