167991503899648 has 176 divisors, whose sum is σ = 394754994031104. Its totient is φ = 70445491568640.

The previous prime is 167991503899561. The next prime is 167991503899649. The reversal of 167991503899648 is 846998305199761.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×167991503899648² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167991503899649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255488361 + ... + 256145047.

Almost surely, 2^{167991503899648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167991503899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197377497015552).

167991503899648 is an abundant number, since it is smaller than the sum of its proper divisors (226763490131456).

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

167991503899648 is a wasteful number, since it uses less digits than its factorization.

167991503899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658478 (or 658460 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 85.

The spelling of 167991503899648 in words is "one hundred sixty-seven trillion, nine hundred ninety-one billion, five hundred three million, eight hundred ninety-nine thousand, six hundred forty-eight".