146391164282880 has 1920 divisors, whose sum is σ = 586904805527040. Its totient is φ = 34596433428480.

The previous prime is 146391164282879. The next prime is 146391164282921. The reversal of 146391164282880 is 88282461193641.

It is a happy number.

146391164282880 is a `hidden beast` number, since 1 + 4 + 6 + 391 + 164 + 2 + 8 + 2 + 8 + 80 = 666.

146391164282880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×146391164282880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144512501254 + ... + 144512502266.

It is an arithmetic number, because the mean of its divisors is an integer number (305679586212).

Almost surely, 2^{146391164282880} is an apocalyptic number.

146391164282880 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 146391164282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293452402763520).

146391164282880 is an abundant number, since it is smaller than the sum of its proper divisors (440513641244160).

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

146391164282880 is a wasteful number, since it uses less digits than its factorization.

146391164282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 146391164282880 in words is "one hundred forty-six trillion, three hundred ninety-one billion, one hundred sixty-four million, two hundred eighty-two thousand, eight hundred eighty".