46517614440 has 128 divisors (see below), whose sum is σ = 153747227520. Its totient is φ = 11165312000.

The previous prime is 46517614433. The next prime is 46517614457. The reversal of 46517614440 is 4441671564.

It is a junction number, because it is equal to n+sod(n) for n = 46517614392 and 46517614401.

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 31 ways as a sum of consecutive naturals, for example, 41139 + ... + 307778.

It is an arithmetic number, because the mean of its divisors is an integer number (1201150215).

Almost surely, 2^46517614440 is an apocalyptic number.

46517614440 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 46517614440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76873613760).

46517614440 is an abundant number, since it is smaller than the sum of its proper divisors (107229613080).

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

46517614440 is a wasteful number, since it uses less digits than its factorization.

46517614440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349043 (or 349039 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 46517614440 in words is "forty-six billion, five hundred seventeen million, six hundred fourteen thousand, four hundred forty".