61755466455716 has 24 divisors (see below), whose sum is σ = 117899772400704. Its totient is φ = 28069958760480.

The previous prime is 61755466455707. The next prime is 61755466455719.

It is a happy number.

61755466455716 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×61755466455716⁴ (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (61755466455719) 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 7 ways as a sum of consecutive naturals, for example, 15928475 + ... + 19422338.

It is an arithmetic number, because the mean of its divisors is an integer number (4912490516696).

Almost surely, 2^{61755466455716} is an apocalyptic number.

It is an amenable number.

61755466455716 is a deficient number, since it is larger than the sum of its proper divisors (56144305944988).

61755466455716 is a wasteful number, since it uses less digits than its factorization.

61755466455716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35390531 (or 35390529 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 68.

The spelling of 61755466455716 in words is "sixty-one trillion, seven hundred fifty-five billion, four hundred sixty-six million, four hundred fifty-five thousand, seven hundred sixteen".