146146544621064 has 192 divisors, whose sum is σ = 441843129000000. Its totient is φ = 43330527991296.

The previous prime is 146146544621017. The next prime is 146146544621081. The reversal of 146146544621064 is 460126445641641.

146146544621064 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 4 + 6 + 5 + 4 + 4 + 621 + 0 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146146544621064.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8149947 + ... + 18939765.

It is an arithmetic number, because the mean of its divisors is an integer number (2301266296875).

Almost surely, 2^{146146544621064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146146544621064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220921564500000).

146146544621064 is an abundant number, since it is smaller than the sum of its proper divisors (295696584378936).

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

146146544621064 is a wasteful number, since it uses less digits than its factorization.

146146544621064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790372 (or 10790365 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 146146544621064 in words is "one hundred forty-six trillion, one hundred forty-six billion, five hundred forty-four million, six hundred twenty-one thousand, sixty-four".