61742315142216 has 96 divisors (see below), whose sum is σ = 167564625696000. Its totient is φ = 20538247669632.

The previous prime is 61742315142173. The next prime is 61742315142227. The reversal of 61742315142216 is 61224151324716.

It is a happy number.

61742315142216 is a `hidden beast` number, since 6 + 1 + 7 + 423 + 1 + 5 + 1 + 4 + 2 + 216 = 666.

It is a super-2 number, since 2×61742315142216² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68972425 + ... + 69861863.

It is an arithmetic number, because the mean of its divisors is an integer number (1745464851000).

Almost surely, 2^{61742315142216} is an apocalyptic number.

It is an amenable number.

61742315142216 is an abundant number, since it is smaller than the sum of its proper divisors (105822310553784).

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

61742315142216 is a wasteful number, since it uses less digits than its factorization.

61742315142216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891443 (or 891436 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 61742315142216 in words is "sixty-one trillion, seven hundred forty-two billion, three hundred fifteen million, one hundred forty-two thousand, two hundred sixteen".