146514322056960 has 3456 divisors, whose sum is σ = 659768884346880. Its totient is φ = 30503697776640.

The previous prime is 146514322056877. The next prime is 146514322056989. The reversal of 146514322056960 is 69650223415641.

146514322056960 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 14 + 3 + 2 + 2 + 0 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 = 146514322056897 and 146514322056906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46262809297 + ... + 46262812463.

It is an arithmetic number, because the mean of its divisors is an integer number (190905348480).

Almost surely, 2^{146514322056960} is an apocalyptic number.

146514322056960 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 146514322056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329884442173440).

146514322056960 is an abundant number, since it is smaller than the sum of its proper divisors (513254562289920).

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

146514322056960 is a wasteful number, since it uses less digits than its factorization.

146514322056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 146514322056960 in words is "one hundred forty-six trillion, five hundred fourteen billion, three hundred twenty-two million, fifty-six thousand, nine hundred sixty".