141994564766208 has 1920 divisors, whose sum is σ = 546239872696320. Its totient is φ = 35378535628800.

The previous prime is 141994564766189. The next prime is 141994564766213. The reversal of 141994564766208 is 802667465499141.

141994564766208 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 94 + 5 + 6 + 476 + 62 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 129912684510 + ... + 129912685602.

It is an arithmetic number, because the mean of its divisors is an integer number (284499933696).

Almost surely, 2^{141994564766208} is an apocalyptic number.

141994564766208 is a gapful number since it is divisible by the number (18) 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 141994564766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273119936348160).

141994564766208 is an abundant number, since it is smaller than the sum of its proper divisors (404245307930112).

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

141994564766208 is a wasteful number, since it uses less digits than its factorization.

141994564766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 141994564766208 in words is "one hundred forty-one trillion, nine hundred ninety-four billion, five hundred sixty-four million, seven hundred sixty-six thousand, two hundred eight".