61863628176 has 525 divisors, whose sum is σ = 214203480731. Its totient is φ = 17299251648.

The previous prime is 61863628171. The next prime is 61863628217. The reversal of 61863628176 is 67182636816.

The square root of 61863628176 is 248724.

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

61863628176 is a `hidden beast` number, since 6 + 1 + 8 + 6 + 3 + 628 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61863628171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1316247385 + ... + 1316247431.

Almost surely, 2^61863628176 is an apocalyptic number.

61863628176 is the 248724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61863628176

61863628176 is an abundant number, since it is smaller than the sum of its proper divisors (152339852555).

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

61863628176 is an frugal number, since it uses more digits than its factorization.

61863628176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 59 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 61863628176 in words is "sixty-one billion, eight hundred sixty-three million, six hundred twenty-eight thousand, one hundred seventy-six".