146651164660 has 192 divisors, whose sum is σ = 416757841920. Its totient is φ = 41860385280.

The previous prime is 146651164603. The next prime is 146651164663. The reversal of 146651164660 is 66461156641.

146651164660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146651164660² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146651164660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146651164663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513701 + ... + 2571379.

It is an arithmetic number, because the mean of its divisors is an integer number (2170613760).

Almost surely, 2^146651164660 is an apocalyptic number.

146651164660 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 146651164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208378920960).

146651164660 is an abundant number, since it is smaller than the sum of its proper divisors (270106677260).

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

146651164660 is a wasteful number, since it uses less digits than its factorization.

146651164660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57846 (or 57844 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 146651164660 in words is "one hundred forty-six billion, six hundred fifty-one million, one hundred sixty-four thousand, six hundred sixty".