61153835116 has 144 divisors (see below), whose sum is σ = 124347041280. Its totient is φ = 26267472000.

The previous prime is 61153835111. The next prime is 61153835161.

It is a happy number.

61153835116 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) 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 (61153835111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98794255 + ... + 98794873.

It is an arithmetic number, because the mean of its divisors is an integer number (863521120).

Almost surely, 2^61153835116 is an apocalyptic number.

It is an amenable number.

61153835116 is an abundant number, since it is smaller than the sum of its proper divisors (63193206164).

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

61153835116 is a wasteful number, since it uses less digits than its factorization.

61153835116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its digits is 64800, while the sum is 40.

The spelling of 61153835116 in words is "sixty-one billion, one hundred fifty-three million, eight hundred thirty-five thousand, one hundred sixteen".