46194308850240 has 336 divisors, whose sum is σ = 165815102464128. Its totient is φ = 11781638111232.

The previous prime is 46194308850181. The next prime is 46194308850241. The reversal of 46194308850240 is 4205880349164.

46194308850240 is a `hidden beast` number, since 4 + 6 + 1 + 94 + 3 + 0 + 8 + 8 + 502 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (46194308850241) 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, 727747144 + ... + 727810616.

Almost surely, 2^{46194308850240} is an apocalyptic number.

46194308850240 is a gapful number since it is divisible by the number (40) 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 46194308850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907551232064).

46194308850240 is an abundant number, since it is smaller than the sum of its proper divisors (119620793613888).

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

46194308850240 is a wasteful number, since it uses less digits than its factorization.

46194308850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74506 (or 74493 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 46194308850240 in words is "forty-six trillion, one hundred ninety-four billion, three hundred eight million, eight hundred fifty thousand, two hundred forty".