46740999456 has 288 divisors, whose sum is σ = 144346116096. Its totient is φ = 14859936000.

The previous prime is 46740999451. The next prime is 46740999491. The reversal of 46740999456 is 65499904764.

46740999456 is a `hidden beast` number, since 467 + 40 + 9 + 99 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 46740999393 and 46740999402.

It is not an unprimeable number, because it can be changed into a prime (46740999451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17113611 + ... + 17116341.

It is an arithmetic number, because the mean of its divisors is an integer number (501201792).

Almost surely, 2^46740999456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46740999456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72173058048).

46740999456 is an abundant number, since it is smaller than the sum of its proper divisors (97605116640).

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

46740999456 is a wasteful number, since it uses less digits than its factorization.

46740999456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 46740999456 in words is "forty-six billion, seven hundred forty million, nine hundred ninety-nine thousand, four hundred fifty-six".