47242081532160 has 216 divisors, whose sum is σ = 173067545359800. Its totient is φ = 11856836100096.

The previous prime is 47242081532131. The next prime is 47242081532297. The reversal of 47242081532160 is 6123518024274.

47242081532160 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 20 + 81 + 532 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12134465703936 + 35107615828224 = 3483456^2 + 5925168^2 .

It is a super-2 number, since 2×47242081532160² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120418135 + ... + 120809814.

It is an arithmetic number, because the mean of its divisors is an integer number (801238635925).

Almost surely, 2^{47242081532160} is an apocalyptic number.

47242081532160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47242081532160 is an abundant number, since it is smaller than the sum of its proper divisors (125825463827640).

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

47242081532160 is a wasteful number, since it uses less digits than its factorization.

47242081532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241227993 (or 241227976 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 47242081532160 in words is "forty-seven trillion, two hundred forty-two billion, eighty-one million, five hundred thirty-two thousand, one hundred sixty".