164124488985600 has 3168 divisors, whose sum is σ = 675094822023168. Its totient is φ = 34792243200000.

The previous prime is 164124488985547. The next prime is 164124488985601. The reversal of 164124488985600 is 6589884421461.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (164124488985601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 495844377435 + ... + 495844377765.

Almost surely, 2^{164124488985600} is an apocalyptic number.

164124488985600 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 164124488985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337547411011584).

164124488985600 is an abundant number, since it is smaller than the sum of its proper divisors (510970333037568).

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

164124488985600 is a wasteful number, since it uses less digits than its factorization.

164124488985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 66.

The spelling of 164124488985600 in words is "one hundred sixty-four trillion, one hundred twenty-four billion, four hundred eighty-eight million, nine hundred eighty-five thousand, six hundred".