61347394934928 has 120 divisors (see below), whose sum is σ = 176450773739448. Its totient is φ = 19882565462016.

The previous prime is 61347394934873. The next prime is 61347394934989. The reversal of 61347394934928 is 82943949374316.

61347394934928 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 73 + 9 + 493 + 49 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19375033317264 + 41972361617664 = 4401708^2 + 6478608^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3617526 + ... + 11652522.

Almost surely, 2^{61347394934928} 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 61347394934928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88225386869724).

61347394934928 is an abundant number, since it is smaller than the sum of its proper divisors (115103378804520).

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

61347394934928 is a wasteful number, since it uses less digits than its factorization.

61347394934928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036481 (or 8036472 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 61347394934928 in words is "sixty-one trillion, three hundred forty-seven billion, three hundred ninety-four million, nine hundred thirty-four thousand, nine hundred twenty-eight".