177640016112 has 80 divisors (see below), whose sum is σ = 549115166880. Its totient is φ = 54658464768.

The previous prime is 177640016111. The next prime is 177640016119. The reversal of 177640016112 is 211610046771.

177640016112 is a `hidden beast` number, since 1 + 7 + 7 + 640 + 0 + 1 + 6 + 1 + 1 + 2 = 666.

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 (177640016111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15809913 + ... + 15821144.

It is an arithmetic number, because the mean of its divisors is an integer number (6863939586).

Almost surely, 2^177640016112 is an apocalyptic number.

177640016112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

177640016112 is an abundant number, since it is smaller than the sum of its proper divisors (371475150768).

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

177640016112 is a wasteful number, since it uses less digits than its factorization.

177640016112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31631087 (or 31631075 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 177640016112 in words is "one hundred seventy-seven billion, six hundred forty million, sixteen thousand, one hundred twelve".