47290134528 has 832 divisors, whose sum is σ = 178487787520. Its totient is φ = 12039487488.

The previous prime is 47290134509. The next prime is 47290134571. The reversal of 47290134528 is 82543109274.

47290134528 is a `hidden beast` number, since 4 + 7 + 2 + 90 + 1 + 34 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372363201 + ... + 372363327.

Almost surely, 2^47290134528 is an apocalyptic number.

47290134528 is a gapful number since it is divisible by the number (48) 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 47290134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89243893760).

47290134528 is an abundant number, since it is smaller than the sum of its proper divisors (131197652992).

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

47290134528 is a wasteful number, since it uses less digits than its factorization.

47290134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47290134528 in words is "forty-seven billion, two hundred ninety million, one hundred thirty-four thousand, five hundred twenty-eight".