61516243914168 has 128 divisors (see below), whose sum is σ = 161364366328320. Its totient is φ = 19505584412160.

The previous prime is 61516243914149. The next prime is 61516243914193. The reversal of 61516243914168 is 86141934261516.

It is a super-2 number, since 2×61516243914168² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148527946 + ... + 148941542.

It is an arithmetic number, because the mean of its divisors is an integer number (1260659111940).

Almost surely, 2^{61516243914168} 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 61516243914168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80682183164160).

61516243914168 is an abundant number, since it is smaller than the sum of its proper divisors (99848122414152).

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

61516243914168 is a wasteful number, since it uses less digits than its factorization.

61516243914168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415117 (or 415113 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 61516243914168 in words is "sixty-one trillion, five hundred sixteen billion, two hundred forty-three million, nine hundred fourteen thousand, one hundred sixty-eight".