61546733764516 has 96 divisors (see below), whose sum is σ = 144615654731520. Its totient is φ = 22134329740800.

The previous prime is 61546733764513. The next prime is 61546733764517.

61546733764516 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61546733764513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439332930 + ... + 439472998.

It is an arithmetic number, because the mean of its divisors is an integer number (1506413070120).

Almost surely, 2^{61546733764516} is an apocalyptic number.

It is an amenable number.

61546733764516 is an abundant number, since it is smaller than the sum of its proper divisors (83068920967004).

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

61546733764516 is a wasteful number, since it uses less digits than its factorization.

61546733764516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249845 (or 249843 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 64.

The spelling of 61546733764516 in words is "sixty-one trillion, five hundred forty-six billion, seven hundred thirty-three million, seven hundred sixty-four thousand, five hundred sixteen".