16171066464 has 192 divisors, whose sum is σ = 49467801600. Its totient is φ = 4530290688.

The previous prime is 16171066463. The next prime is 16171066493. The reversal of 16171066464 is 46466017161.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16171066463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7594552 + ... + 7596680.

It is an arithmetic number, because the mean of its divisors is an integer number (257644800).

Almost surely, 2^16171066464 is an apocalyptic number.

16171066464 is a gapful number since it is divisible by the number (14) 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 16171066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24733900800).

16171066464 is an abundant number, since it is smaller than the sum of its proper divisors (33296735136).

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

16171066464 is a wasteful number, since it uses less digits than its factorization.

16171066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 16171066464 in words is "sixteen billion, one hundred seventy-one million, sixty-six thousand, four hundred sixty-four".