61295145168 has 80 divisors (see below), whose sum is σ = 168237803520. Its totient is φ = 19175430528.

The previous prime is 61295145143. The next prime is 61295145173. The reversal of 61295145168 is 86154159216.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 216480 + ... + 411647.

It is an arithmetic number, because the mean of its divisors is an integer number (2102972544).

Almost surely, 2^61295145168 is an apocalyptic number.

It is an amenable number.

61295145168 is an abundant number, since it is smaller than the sum of its proper divisors (106942658352).

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

61295145168 is a wasteful number, since it uses less digits than its factorization.

61295145168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628264 (or 628258 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 61295145168 in words is "sixty-one billion, two hundred ninety-five million, one hundred forty-five thousand, one hundred sixty-eight".