61422544522416 has 360 divisors, whose sum is σ = 202916337366960. Its totient is φ = 15951566991360.

The previous prime is 61422544522349. The next prime is 61422544522459.

61422544522416 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2825703100 + ... + 2825724836.

It is an arithmetic number, because the mean of its divisors is an integer number (563656492686).

Almost surely, 2^{61422544522416} is an apocalyptic number.

61422544522416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61422544522416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101458168683480).

61422544522416 is an abundant number, since it is smaller than the sum of its proper divisors (141493792844544).

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

61422544522416 is a wasteful number, since it uses less digits than its factorization.

61422544522416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31713 (or 31689 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 61422544522416 in words is "sixty-one trillion, four hundred twenty-two billion, five hundred forty-four million, five hundred twenty-two thousand, four hundred sixteen".