61165984416 has 48 divisors (see below), whose sum is σ = 163192867488. Its totient is φ = 20054419200.

The previous prime is 61165984409. The next prime is 61165984417. The reversal of 61165984416 is 61448956116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×61165984416² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61165984417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5216650 + ... + 5228361.

It is an arithmetic number, because the mean of its divisors is an integer number (3399851406).

Almost surely, 2^61165984416 is an apocalyptic number.

It is an amenable number.

61165984416 is an abundant number, since it is smaller than the sum of its proper divisors (102026883072).

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

61165984416 is a wasteful number, since it uses less digits than its factorization.

61165984416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445085 (or 10445077 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 61165984416 in words is "sixty-one billion, one hundred sixty-five million, nine hundred eighty-four thousand, four hundred sixteen".