61221393934848 has 720 divisors, whose sum is σ = 216644298814944. Its totient is φ = 17204971069440.

The previous prime is 61221393934747. The next prime is 61221393934849. The reversal of 61221393934848 is 84843939312216.

61221393934848 is a `hidden beast` number, since 6 + 1 + 2 + 213 + 9 + 39 + 348 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (61221393934849) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371797111 + ... + 371961737.

Almost surely, 2^{61221393934848} 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 61221393934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108322149407472).

61221393934848 is an abundant number, since it is smaller than the sum of its proper divisors (155422904880096).

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

61221393934848 is an equidigital number, since it uses as much as digits as its factorization.

61221393934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164735 (or 164700 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 61221393934848 in words is "sixty-one trillion, two hundred twenty-one billion, three hundred ninety-three million, nine hundred thirty-four thousand, eight hundred forty-eight".