47995141761 has 128 divisors (see below), whose sum is σ = 89303040000. Its totient is φ = 25370102016.

The previous prime is 47995141757. The next prime is 47995141793. The reversal of 47995141761 is 16714159974.

It is a happy number.

47995141761 is a `hidden beast` number, since 479 + 95 + 14 + 1 + 76 + 1 = 666.

It is not a de Polignac number, because 47995141761 - 2² = 47995141757 is a prime.

It is a super-2 number, since 2×47995141761² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47995141698 and 47995141707.

It is not an unprimeable number, because it can be changed into a prime (47995141721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9286200 + ... + 9291366.

It is an arithmetic number, because the mean of its divisors is an integer number (697680000).

Almost surely, 2^47995141761 is an apocalyptic number.

It is an amenable number.

47995141761 is a deficient number, since it is larger than the sum of its proper divisors (41307898239).

47995141761 is a wasteful number, since it uses less digits than its factorization.

47995141761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5253 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 47995141761 in words is "forty-seven billion, nine hundred ninety-five million, one hundred forty-one thousand, seven hundred sixty-one".