61429292416 has 64 divisors (see below), whose sum is σ = 123931407600. Its totient is φ = 30326630400.

The previous prime is 61429292399. The next prime is 61429292453.

It is a happy number.

61429292416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4815775 + ... + 4828513.

Almost surely, 2^61429292416 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 61429292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965703800).

61429292416 is an abundant number, since it is smaller than the sum of its proper divisors (62502115184).

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

61429292416 is a wasteful number, since it uses less digits than its factorization.

61429292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13215 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The spelling of 61429292416 in words is "sixty-one billion, four hundred twenty-nine million, two hundred ninety-two thousand, four hundred sixteen".