61338033792 has 288 divisors, whose sum is σ = 216134287200. Its totient is φ = 16602485760.

The previous prime is 61338033791. The next prime is 61338033833. The reversal of 61338033792 is 29733083316.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61338033791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1043917 + ... + 1101107.

It is an arithmetic number, because the mean of its divisors is an integer number (750466275).

Almost surely, 2^61338033792 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 61338033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108067143600).

61338033792 is an abundant number, since it is smaller than the sum of its proper divisors (154796253408).

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

61338033792 is a wasteful number, since it uses less digits than its factorization.

61338033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57244 (or 57222 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 61338033792 in words is "sixty-one billion, three hundred thirty-eight million, thirty-three thousand, seven hundred ninety-two".