61292429216 has 48 divisors (see below), whose sum is σ = 124764514560. Its totient is φ = 29609418240.

The previous prime is 61292429207. The next prime is 61292429239.

61292429216 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564140 + ... + 663956.

It is an arithmetic number, because the mean of its divisors is an integer number (2599260720).

Almost surely, 2^61292429216 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 61292429216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62382257280).

61292429216 is an abundant number, since it is smaller than the sum of its proper divisors (63472085344).

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

61292429216 is a wasteful number, since it uses less digits than its factorization.

61292429216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100477 (or 100469 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The spelling of 61292429216 in words is "sixty-one billion, two hundred ninety-two million, four hundred twenty-nine thousand, two hundred sixteen".