61334689504 has 192 divisors, whose sum is σ = 143341228800. Its totient is φ = 25518366720.

The previous prime is 61334689489. The next prime is 61334689511. The reversal of 61334689504 is 40598643316.

It is a happy number.

61334689504 is digitally balanced in base 2, 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 31 ways as a sum of consecutive naturals, for example, 89801547 + ... + 89802229.

It is an arithmetic number, because the mean of its divisors is an integer number (746568900).

Almost surely, 2^61334689504 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 61334689504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71670614400).

61334689504 is an abundant number, since it is smaller than the sum of its proper divisors (82006539296).

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

61334689504 is a wasteful number, since it uses less digits than its factorization.

61334689504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 61334689504 in words is "sixty-one billion, three hundred thirty-four million, six hundred eighty-nine thousand, five hundred four".