61194829248 has 336 divisors, whose sum is σ = 207336542400. Its totient is φ = 16891379712.

The previous prime is 61194829243. The next prime is 61194829249. The reversal of 61194829248 is 84292849116.

It is a happy number.

61194829248 is a `hidden beast` number, since 6 + 119 + 482 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61194829194 and 61194829203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61194829243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22227040 + ... + 22229792.

Almost surely, 2^61194829248 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 61194829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103668271200).

61194829248 is an abundant number, since it is smaller than the sum of its proper divisors (146141713152).

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

61194829248 is a wasteful number, since it uses less digits than its factorization.

61194829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2951 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 61194829248 in words is "sixty-one billion, one hundred ninety-four million, eight hundred twenty-nine thousand, two hundred forty-eight".