47661184149264 has 675 divisors, whose sum is σ = 159088235726823. Its totient is φ = 13319406688896.

The previous prime is 47661184149233. The next prime is 47661184149289. The reversal of 47661184149264 is 46294148116674.

The square root of 47661184149264 is 6903708.

It is a perfect power (a square), and thus also a powerful number.

47661184149264 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 1 + 1 + 84 + 1 + 492 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 239503437837 + ... + 239503438035.

Almost surely, 2^{47661184149264} is an apocalyptic number.

47661184149264 is the 6903708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47661184149264

47661184149264 is an abundant number, since it is smaller than the sum of its proper divisors (111427051577559).

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

47661184149264 is an frugal number, since it uses more digits than its factorization.

47661184149264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 270 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 47661184149264 in words is "forty-seven trillion, six hundred sixty-one billion, one hundred eighty-four million, one hundred forty-nine thousand, two hundred sixty-four".