164558883840 has 352 divisors, whose sum is σ = 591479110656. Its totient is φ = 38744555520.

The previous prime is 164558883823. The next prime is 164558883851. The reversal of 164558883840 is 48388855461.

It is a super-2 number, since 2×164558883840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4574725 + ... + 4610555.

Almost surely, 2^164558883840 is an apocalyptic number.

164558883840 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 164558883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295739555328).

164558883840 is an abundant number, since it is smaller than the sum of its proper divisors (426920226816).

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

164558883840 is a wasteful number, since it uses less digits than its factorization.

164558883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35895 (or 35877 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 164558883840 in words is "one hundred sixty-four billion, five hundred fifty-eight million, eight hundred eighty-three thousand, eight hundred forty".