146196393264 has 240 divisors, whose sum is σ = 440302492448. Its totient is φ = 46921752576.

The previous prime is 146196393253. The next prime is 146196393269. The reversal of 146196393264 is 462393691641.

It is a happy number.

146196393264 is a `hidden beast` number, since 1 + 4 + 6 + 196 + 393 + 2 + 64 = 666.

146196393264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146196393264.

It is not an unprimeable number, because it can be changed into a prime (146196393269) 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 47 ways as a sum of consecutive naturals, for example, 13948794 + ... + 13959270.

Almost surely, 2^146196393264 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 146196393264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220151246224).

146196393264 is an abundant number, since it is smaller than the sum of its proper divisors (294106099184).

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

146196393264 is a wasteful number, since it uses less digits than its factorization.

146196393264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10616 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 146196393264 in words is "one hundred forty-six billion, one hundred ninety-six million, three hundred ninety-three thousand, two hundred sixty-four".