61364877846316 has 144 divisors (see below), whose sum is σ = 124613431810560. Its totient is φ = 26348105520000.

The previous prime is 61364877846289. The next prime is 61364877846319.

61364877846316 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61364877846319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8802876711 + ... + 8802883681.

It is an arithmetic number, because the mean of its divisors is an integer number (865371054240).

Almost surely, 2^{61364877846316} is an apocalyptic number.

It is an amenable number.

61364877846316 is an abundant number, since it is smaller than the sum of its proper divisors (63248553964244).

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

61364877846316 is a wasteful number, since it uses less digits than its factorization.

61364877846316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668 (or 9655 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 70.

The spelling of 61364877846316 in words is "sixty-one trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred sixteen".