61431222213416 has 128 divisors (see below), whose sum is σ = 128226521180160. Its totient is φ = 27358587110400.

The previous prime is 61431222213391. The next prime is 61431222213419.

61431222213416 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61431222213416.

It is not an unprimeable number, because it can be changed into a prime (61431222213419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496829921 + ... + 496953551.

It is an arithmetic number, because the mean of its divisors is an integer number (1001769696720).

Almost surely, 2^{61431222213416} 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 61431222213416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64113260590080).

61431222213416 is an abundant number, since it is smaller than the sum of its proper divisors (66795298966744).

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

61431222213416 is a wasteful number, since it uses less digits than its factorization.

61431222213416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124335 (or 124331 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 6143122 and 2213416, that added together give a palindrome (8356538).

The spelling of 61431222213416 in words is "sixty-one trillion, four hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred sixteen".