46294243248834 has 288 divisors, whose sum is σ = 122068017017856. Its totient is φ = 12631143732480.

The previous prime is 46294243248751. The next prime is 46294243248889. The reversal of 46294243248834 is 43884234249264.

46294243248834 is a `hidden beast` number, since 4 + 6 + 2 + 94 + 2 + 4 + 32 + 488 + 34 = 666.

46294243248834 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 (63).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 516649324 + ... + 516738920.

It is an arithmetic number, because the mean of its divisors is an integer number (423847281312).

Almost surely, 2^{46294243248834} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46294243248834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61034008508928).

46294243248834 is an abundant number, since it is smaller than the sum of its proper divisors (75773773769022).

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

46294243248834 is a wasteful number, since it uses less digits than its factorization.

46294243248834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89950 (or 89940 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 63.

The spelling of 46294243248834 in words is "forty-six trillion, two hundred ninety-four billion, two hundred forty-three million, two hundred forty-eight thousand, eight hundred thirty-four".