47181561042105 has 48 divisors (see below), whose sum is σ = 94996629421824. Its totient is φ = 21215128141440.

The previous prime is 47181561042097. The next prime is 47181561042113. The reversal of 47181561042105 is 50124016518174.

It is a happy number.

47181561042105 is a `hidden beast` number, since 4 + 7 + 1 + 8 + 1 + 5 + 610 + 4 + 21 + 0 + 5 = 666.

47181561042105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47181561042097) and next prime (47181561042113).

It is not a de Polignac number, because 47181561042105 - 2³ = 47181561042097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227708109 + ... + 1227746538.

It is an arithmetic number, because the mean of its divisors is an integer number (1979096446288).

Almost surely, 2^{47181561042105} is an apocalyptic number.

47181561042105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47181561042105 is an abundant number, since it is smaller than the sum of its proper divisors (47815068379719).

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

47181561042105 is a wasteful number, since it uses less digits than its factorization.

47181561042105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455454726 (or 2455454723 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 47181561042105 in words is "forty-seven trillion, one hundred eighty-one billion, five hundred sixty-one million, forty-two thousand, one hundred five".