47606114664 has 128 divisors (see below), whose sum is σ = 133705728000. Its totient is φ = 15693158592.

The previous prime is 47606114657. The next prime is 47606114671. The reversal of 47606114664 is 46641160674.

47606114664 is a `hidden beast` number, since 476 + 0 + 6 + 114 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (47606114657) and next prime (47606114671).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32014129 + ... + 32015615.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576000).

Almost surely, 2^47606114664 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 47606114664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852864000).

47606114664 is an abundant number, since it is smaller than the sum of its proper divisors (86099613336).

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

47606114664 is a wasteful number, since it uses less digits than its factorization.

47606114664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47606114664 in words is "forty-seven billion, six hundred six million, one hundred fourteen thousand, six hundred sixty-four".