61445654416 has 80 divisors (see below), whose sum is σ = 125746416000. Its totient is φ = 29029017600.

The previous prime is 61445654411. The next prime is 61445654423.

61445654416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61445654416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (61445654411) by changing a digit.

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, 18545176 + ... + 18548488.

It is an arithmetic number, because the mean of its divisors is an integer number (1571830200).

Almost surely, 2^61445654416 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 61445654416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62873208000).

61445654416 is an abundant number, since it is smaller than the sum of its proper divisors (64300761584).

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

61445654416 is a wasteful number, since it uses less digits than its factorization.

61445654416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3938 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The spelling of 61445654416 in words is "sixty-one billion, four hundred forty-five million, six hundred fifty-four thousand, four hundred sixteen".