164937022848 has 256 divisors, whose sum is σ = 525485721600. Its totient is φ = 50629183488.

The previous prime is 164937022837. The next prime is 164937022849. The reversal of 164937022848 is 848220739461.

164937022848 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 370 + 228 + 48 = 666.

It is a super-2 number, since 2×164937022848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164937022794 and 164937022803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164937022849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19898961 + ... + 19907247.

It is an arithmetic number, because the mean of its divisors is an integer number (2052678600).

Almost surely, 2^164937022848 is an apocalyptic number.

164937022848 is a gapful number since it is divisible by the number (18) 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 164937022848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262742860800).

164937022848 is an abundant number, since it is smaller than the sum of its proper divisors (360548698752).

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

164937022848 is a wasteful number, since it uses less digits than its factorization.

164937022848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 164937022848 in words is "one hundred sixty-four billion, nine hundred thirty-seven million, twenty-two thousand, eight hundred forty-eight".