47781179712 has 336 divisors, whose sum is σ = 160846812672. Its totient is φ = 13279749120.

The previous prime is 47781179711. The next prime is 47781179717. The reversal of 47781179712 is 21797118774.

47781179712 is a `hidden beast` number, since 477 + 81 + 1 + 7 + 97 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×47781179712² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47781179711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22420887 + ... + 22423017.

It is an arithmetic number, because the mean of its divisors is an integer number (478710752).

Almost surely, 2^47781179712 is an apocalyptic number.

47781179712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47781179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80423406336).

47781179712 is an abundant number, since it is smaller than the sum of its proper divisors (113065632960).

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

47781179712 is a wasteful number, since it uses less digits than its factorization.

47781179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2293 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 54.

The spelling of 47781179712 in words is "forty-seven billion, seven hundred eighty-one million, one hundred seventy-nine thousand, seven hundred twelve".