46347073344 has 1008 divisors, whose sum is σ = 174234043200. Its totient is φ = 11994808320.

The previous prime is 46347073309. The next prime is 46347073349. The reversal of 46347073344 is 44337074364.

46347073344 is a `hidden beast` number, since 4 + 634 + 7 + 0 + 7 + 3 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46347073344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46347073349) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 785543587 + ... + 785543645.

Almost surely, 2^46347073344 is an apocalyptic number.

46347073344 is a gapful number since it is divisible by the number (44) 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 46347073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87117021600).

46347073344 is an abundant number, since it is smaller than the sum of its proper divisors (127886969856).

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

46347073344 is a wasteful number, since it uses less digits than its factorization.

46347073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 46347073344 in words is "forty-six billion, three hundred forty-seven million, seventy-three thousand, three hundred forty-four".