61662186881856 has 224 divisors, whose sum is σ = 197844488841600. Its totient is φ = 18677054914560.

The previous prime is 61662186881843. The next prime is 61662186881881. The reversal of 61662186881856 is 65818868126616.

61662186881856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41331760 + ... + 42797648.

Almost surely, 2^{61662186881856} is an apocalyptic number.

61662186881856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61662186881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98922244420800).

61662186881856 is an abundant number, since it is smaller than the sum of its proper divisors (136182301959744).

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

61662186881856 is a wasteful number, since it uses less digits than its factorization.

61662186881856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468134 (or 1468118 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 61662186881856 in words is "sixty-one trillion, six hundred sixty-two billion, one hundred eighty-six million, eight hundred eighty-one thousand, eight hundred fifty-six".