61282859345136 has 1920 divisors, whose sum is σ = 224625623040000. Its totient is φ = 15311678054400.

The previous prime is 61282859345093. The next prime is 61282859345173. The reversal of 61282859345136 is 63154395828216.

61282859345136 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 2 + 8 + 593 + 4 + 5 + 1 + 36 = 666.

61282859345136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102308612965 + ... + 102308613563.

It is an arithmetic number, because the mean of its divisors is an integer number (116992512000).

Almost surely, 2^{61282859345136} is an apocalyptic number.

61282859345136 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 61282859345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112312811520000).

61282859345136 is an abundant number, since it is smaller than the sum of its proper divisors (163342763694864).

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

61282859345136 is a wasteful number, since it uses less digits than its factorization.

61282859345136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 61282859345136 in words is "sixty-one trillion, two hundred eighty-two billion, eight hundred fifty-nine million, three hundred forty-five thousand, one hundred thirty-six".