164807100744 has 256 divisors, whose sum is σ = 496779091200. Its totient is φ = 44891750400.

The previous prime is 164807100719. The next prime is 164807100761. The reversal of 164807100744 is 447001708461.

164807100744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164807100744² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164807100696 and 164807100705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134097922 + ... + 134099150.

It is an arithmetic number, because the mean of its divisors is an integer number (1940543325).

Almost surely, 2^164807100744 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 164807100744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248389545600).

164807100744 is an abundant number, since it is smaller than the sum of its proper divisors (331971990456).

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

164807100744 is a wasteful number, since it uses less digits than its factorization.

164807100744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 164807100744 in words is "one hundred sixty-four billion, eight hundred seven million, one hundred thousand, seven hundred forty-four".