61821352116 has 96 divisors (see below), whose sum is σ = 163101818880. Its totient is φ = 20245639392.

The previous prime is 61821352111. The next prime is 61821352121. The reversal of 61821352116 is 61125312816.

61821352116 is a `hidden beast` number, since 618 + 2 + 1 + 3 + 5 + 21 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (61821352111) and next prime (61821352121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61821352111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2760235 + ... + 2782541.

It is an arithmetic number, because the mean of its divisors is an integer number (1698977280).

Almost surely, 2^61821352116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61821352116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81550909440).

61821352116 is an abundant number, since it is smaller than the sum of its proper divisors (101280466764).

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

61821352116 is a wasteful number, since it uses less digits than its factorization.

61821352116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22770 (or 22762 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 61821352116 in words is "sixty-one billion, eight hundred twenty-one million, three hundred fifty-two thousand, one hundred sixteen".