46745686656 has 512 divisors, whose sum is σ = 148786176000. Its totient is φ = 14422302720.

The previous prime is 46745686651. The next prime is 46745686661. The reversal of 46745686656 is 65668654764.

46745686656 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 568 + 6 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (46745686651) and next prime (46745686661).

It is a junction number, because it is equal to n+sod(n) for n = 46745686593 and 46745686602.

It is not an unprimeable number, because it can be changed into a prime (46745686651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336299835 + ... + 336299973.

It is an arithmetic number, because the mean of its divisors is an integer number (290598000).

Almost surely, 2^46745686656 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 46745686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74393088000).

46745686656 is an abundant number, since it is smaller than the sum of its proper divisors (102040489344).

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

46745686656 is a wasteful number, since it uses less digits than its factorization.

46745686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 46745686656 in words is "forty-six billion, seven hundred forty-five million, six hundred eighty-six thousand, six hundred fifty-six".