61275644657216 has 56 divisors (see below), whose sum is σ = 132843780210816. Its totient is φ = 27811424376320.

The previous prime is 61275644657207. The next prime is 61275644657233.

61275644657216 is nontrivially palindromic in base 10.

61275644657216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×61275644657216³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63806456 + ... + 64759671.

Almost surely, 2^{61275644657216} is an apocalyptic number.

It is an amenable number.

61275644657216 is an abundant number, since it is smaller than the sum of its proper divisors (71568135553600).

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

61275644657216 is a wasteful number, since it uses less digits than its factorization.

61275644657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128566827 (or 128566817 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 61275644657216 in words is "sixty-one trillion, two hundred seventy-five billion, six hundred forty-four million, six hundred fifty-seven thousand, two hundred sixteen".