46971627066 has 288 divisors, whose sum is σ = 130111122960. Its totient is φ = 12137029632.

The previous prime is 46971627061. The next prime is 46971627071. The reversal of 46971627066 is 66072617964.

46971627066 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 1 + 627 + 0 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (46971627061) and next prime (46971627071).

It can be written as a sum of positive squares in 8 ways, for example, as 1762236441 + 45209390625 = 41979^2 + 212625^2 .

It is not an unprimeable number, because it can be changed into a prime (46971627061) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174615580 + ... + 174615848.

Almost surely, 2^46971627066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46971627066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65055561480).

46971627066 is an abundant number, since it is smaller than the sum of its proper divisors (83139495894).

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

46971627066 is a wasteful number, since it uses less digits than its factorization.

46971627066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 46971627066 in words is "forty-six billion, nine hundred seventy-one million, six hundred twenty-seven thousand, sixty-six".