47434246272 has 512 divisors, whose sum is σ = 165768768000. Its totient is φ = 13070647296.

The previous prime is 47434246271. The next prime is 47434246297. The reversal of 47434246272 is 27264243474.

It is a happy number.

47434246272 is a `hidden beast` number, since 47 + 43 + 42 + 462 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47434246271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176335354 + ... + 176335622.

It is an arithmetic number, because the mean of its divisors is an integer number (323767125).

Almost surely, 2^47434246272 is an apocalyptic number.

47434246272 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 47434246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82884384000).

47434246272 is an abundant number, since it is smaller than the sum of its proper divisors (118334521728).

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

47434246272 is a wasteful number, since it uses less digits than its factorization.

47434246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 45.

The spelling of 47434246272 in words is "forty-seven billion, four hundred thirty-four million, two hundred forty-six thousand, two hundred seventy-two".