47606819420106 has 128 divisors (see below), whose sum is σ = 108892344729600. Its totient is φ = 15405954200640.

The previous prime is 47606819420087. The next prime is 47606819420107. The reversal of 47606819420106 is 60102491860674.

47606819420106 is a `hidden beast` number, since 4 + 7 + 606 + 8 + 1 + 9 + 4 + 20 + 1 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47606819420107) 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, 2264500711 + ... + 2264521733.

It is an arithmetic number, because the mean of its divisors is an integer number (850721443200).

Almost surely, 2^{47606819420106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47606819420106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54446172364800).

47606819420106 is an abundant number, since it is smaller than the sum of its proper divisors (61285525309494).

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

47606819420106 is a wasteful number, since it uses less digits than its factorization.

47606819420106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23521 (or 23515 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47606819420106 in words is "forty-seven trillion, six hundred six billion, eight hundred nineteen million, four hundred twenty thousand, one hundred six".