166657890823424 has 864 divisors, whose sum is σ = 481985923249152. Its totient is φ = 56435097600000.

The previous prime is 166657890823343. The next prime is 166657890823427. The reversal of 166657890823424 is 424328098756661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166657890823427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057438924 + ... + 2057519924.

It is a 1-persistent number, because it is pandigital, but 2⋅166657890823424 = 333315781646848 is not.

Almost surely, 2^{166657890823424} is an apocalyptic number.

166657890823424 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 166657890823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240992961624576).

166657890823424 is an abundant number, since it is smaller than the sum of its proper divisors (315328032425728).

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

166657890823424 is a wasteful number, since it uses less digits than its factorization.

166657890823424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81123 (or 81102 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 71.

The spelling of 166657890823424 in words is "one hundred sixty-six trillion, six hundred fifty-seven billion, eight hundred ninety million, eight hundred twenty-three thousand, four hundred twenty-four".