61113819312 has 240 divisors, whose sum is σ = 210835130688. Its totient is φ = 16092518400.

The previous prime is 61113819307. The next prime is 61113819313. The reversal of 61113819312 is 21391831116.

It is a happy number.

61113819312 is a `hidden beast` number, since 611 + 1 + 3 + 8 + 1 + 9 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (61113819313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9182578 + ... + 9189230.

Almost surely, 2^61113819312 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 61113819312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105417565344).

61113819312 is an abundant number, since it is smaller than the sum of its proper divisors (149721311376).

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

61113819312 is a wasteful number, since it uses less digits than its factorization.

61113819312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7379 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The spelling of 61113819312 in words is "sixty-one billion, one hundred thirteen million, eight hundred nineteen thousand, three hundred twelve".