164984601600 has 2112 divisors, whose sum is σ = 775535918080. Its totient is φ = 33443020800.

The previous prime is 164984601589. The next prime is 164984601601. The reversal of 164984601600 is 6106489461.

It is a super-2 number, since 2×164984601600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164984601601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2704665570 + ... + 2704665630.

Almost surely, 2^164984601600 is an apocalyptic number.

164984601600 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 164984601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387767959040).

164984601600 is an abundant number, since it is smaller than the sum of its proper divisors (610551316480).

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

164984601600 is a wasteful number, since it uses less digits than its factorization.

164984601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 164984601600 in words is "one hundred sixty-four billion, nine hundred eighty-four million, six hundred one thousand, six hundred".