61439144193416 has 64 divisors (see below), whose sum is σ = 126202233548160. Its totient is φ = 27809075520000.

The previous prime is 61439144193391. The next prime is 61439144193437.

It is a happy number.

61439144193416 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18201716 + ... + 21311516.

It is an arithmetic number, because the mean of its divisors is an integer number (1971909899190).

Almost surely, 2^{61439144193416} is an apocalyptic number.

It is an amenable number.

61439144193416 is an abundant number, since it is smaller than the sum of its proper divisors (64763089354744).

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

61439144193416 is a wasteful number, since it uses less digits than its factorization.

61439144193416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110766 (or 3110762 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 56.

The spelling of 61439144193416 in words is "sixty-one trillion, four hundred thirty-nine billion, one hundred forty-four million, one hundred ninety-three thousand, four hundred sixteen".