61632166401 has 24 divisors (see below), whose sum is σ = 101511806760. Its totient is φ = 35696457216.

The previous prime is 61632166391. The next prime is 61632166417. The reversal of 61632166401 is 10466123616.

It is a happy number.

61632166401 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 2 + 1 + 6 + 640 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11283538176 + 50348628225 = 106224^2 + 224385^2 .

It is not a de Polignac number, because 61632166401 - 2⁷ = 61632166273 is a prime.

It is a super-3 number, since 3×61632166401³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61632156401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15491266 + ... + 15495243.

It is an arithmetic number, because the mean of its divisors is an integer number (4229658615).

Almost surely, 2^61632166401 is an apocalyptic number.

It is an amenable number.

61632166401 is a deficient number, since it is larger than the sum of its proper divisors (39879640359).

61632166401 is a wasteful number, since it uses less digits than its factorization.

61632166401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30986545 (or 30986542 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 61632166401 in words is "sixty-one billion, six hundred thirty-two million, one hundred sixty-six thousand, four hundred one".