146793194496 has 297 divisors, whose sum is σ = 460474907841. Its totient is φ = 45020012544.

The previous prime is 146793194473. The next prime is 146793194501. The reversal of 146793194496 is 694491397641.

The square root of 146793194496 is 383136.

It is a perfect power (a square), and thus also a powerful number.

146793194496 is a `hidden beast` number, since 1 + 46 + 7 + 93 + 19 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21714969600 + 125078224896 = 147360^2 + 353664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 478153575 + ... + 478153881.

Almost surely, 2^146793194496 is an apocalyptic number.

146793194496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146793194496 is the 383136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146793194496

146793194496 is an abundant number, since it is smaller than the sum of its proper divisors (313681713345).

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

146793194496 is an equidigital number, since it uses as much as digits as its factorization.

146793194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 325 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 146793194496 in words is "one hundred forty-six billion, seven hundred ninety-three million, one hundred ninety-four thousand, four hundred ninety-six".