46660471872 has 336 divisors, whose sum is σ = 149440757760. Its totient is φ = 12797568000.

The previous prime is 46660471853. The next prime is 46660471877. The reversal of 46660471872 is 27817406664.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (46660471877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40538497 + ... + 40539647.

It is an arithmetic number, because the mean of its divisors is an integer number (444764160).

Almost surely, 2^46660471872 is an apocalyptic number.

46660471872 is a gapful number since it is divisible by the number (42) 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 46660471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74720378880).

46660471872 is an abundant number, since it is smaller than the sum of its proper divisors (102780285888).

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

46660471872 is a wasteful number, since it uses less digits than its factorization.

46660471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 46660471872 in words is "forty-six billion, six hundred sixty million, four hundred seventy-one thousand, eight hundred seventy-two".