164508072450 has 96 divisors (see below), whose sum is σ = 414600624576. Its totient is φ = 43162613760.

The previous prime is 164508072409. The next prime is 164508072479. The reversal of 164508072450 is 54270805461.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2286729 + ... + 2357571.

It is an arithmetic number, because the mean of its divisors is an integer number (4318756506).

Almost surely, 2^164508072450 is an apocalyptic number.

164508072450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164508072450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207300312288).

164508072450 is an abundant number, since it is smaller than the sum of its proper divisors (250092552126).

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

164508072450 is a wasteful number, since it uses less digits than its factorization.

164508072450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71108 (or 71103 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 164508072450 in words is "one hundred sixty-four billion, five hundred eight million, seventy-two thousand, four hundred fifty".