61050414656 has 112 divisors (see below), whose sum is σ = 151825269120. Its totient is φ = 23662264320.

The previous prime is 61050414647. The next prime is 61050414679. The reversal of 61050414656 is 65641405016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919010 + ... + 983198.

It is an arithmetic number, because the mean of its divisors is an integer number (1355582760).

Almost surely, 2^61050414656 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 61050414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75912634560).

61050414656 is an abundant number, since it is smaller than the sum of its proper divisors (90774854464).

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

61050414656 is a wasteful number, since it uses less digits than its factorization.

61050414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64412 (or 64402 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 61050414656 in words is "sixty-one billion, fifty million, four hundred fourteen thousand, six hundred fifty-six".