167881541100 has 324 divisors, whose sum is σ = 611858510424. Its totient is φ = 35420636160.

The previous prime is 167881541021. The next prime is 167881541131. The reversal of 167881541100 is 1145188761.

It is a super-2 number, since 2×167881541100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 2450512 + ... + 2518088.

Almost surely, 2^167881541100 is an apocalyptic number.

167881541100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167881541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305929255212).

167881541100 is an abundant number, since it is smaller than the sum of its proper divisors (443976969324).

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

167881541100 is a wasteful number, since it uses less digits than its factorization.

167881541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67634 (or 67607 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 42.

The spelling of 167881541100 in words is "one hundred sixty-seven billion, eight hundred eighty-one million, five hundred forty-one thousand, one hundred".