61245082831968 has 720 divisors, whose sum is σ = 212534798691600. Its totient is φ = 17248656015360.

The previous prime is 61245082831949. The next prime is 61245082831969. The reversal of 61245082831968 is 86913828054216.

61245082831968 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 508 + 2 + 8 + 31 + 96 + 8 = 666.

61245082831968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61245082831969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3741520488 + ... + 3741536856.

It is an arithmetic number, because the mean of its divisors is an integer number (295187220405).

Almost surely, 2^{61245082831968} 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 61245082831968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106267399345800).

61245082831968 is an abundant number, since it is smaller than the sum of its proper divisors (151289715859632).

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

61245082831968 is a wasteful number, since it uses less digits than its factorization.

61245082831968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16801 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 61245082831968 in words is "sixty-one trillion, two hundred forty-five billion, eighty-two million, eight hundred thirty-one thousand, nine hundred sixty-eight".