167848216440 has 256 divisors, whose sum is σ = 521470379520. Its totient is φ = 43199969280.

The previous prime is 167848216423. The next prime is 167848216447. The reversal of 167848216440 is 44612848761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167848216447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106840855 + ... + 106842425.

It is an arithmetic number, because the mean of its divisors is an integer number (2036993670).

Almost surely, 2^167848216440 is an apocalyptic number.

167848216440 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 167848216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260735189760).

167848216440 is an abundant number, since it is smaller than the sum of its proper divisors (353622163080).

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

167848216440 is a wasteful number, since it uses less digits than its factorization.

167848216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 167848216440 in words is "one hundred sixty-seven billion, eight hundred forty-eight million, two hundred sixteen thousand, four hundred forty".