146939703054336 has 312 divisors, whose sum is σ = 426640180950984. Its totient is φ = 48726729031680.

The previous prime is 146939703054289. The next prime is 146939703054349. The reversal of 146939703054336 is 633450307939641.

146939703054336 is a `hidden beast` number, since 1 + 46 + 93 + 9 + 70 + 3 + 0 + 5 + 433 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 928247463936 + 146011455590400 = 963456^2 + 12083520^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5727067620 + ... + 5727093276.

It is an arithmetic number, because the mean of its divisors is an integer number (1367436477407).

Almost surely, 2^{146939703054336} is an apocalyptic number.

146939703054336 is a gapful number since it is divisible by the number (16) 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 146939703054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213320090475492).

146939703054336 is an abundant number, since it is smaller than the sum of its proper divisors (279700477896648).

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

146939703054336 is a wasteful number, since it uses less digits than its factorization.

146939703054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26485 (or 26460 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 146939703054336 in words is "one hundred forty-six trillion, nine hundred thirty-nine billion, seven hundred three million, fifty-four thousand, three hundred thirty-six".