61442224416 has 72 divisors (see below), whose sum is σ = 174824817804. Its totient is φ = 20469196800.

The previous prime is 61442224391. The next prime is 61442224423.

61442224416 is a `hidden beast` number, since 6 + 14 + 4 + 2 + 224 + 416 = 666.

61442224416 is nontrivially palindromic in base 10.

61442224416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60026960016 + 1415264400 = 245004^2 + 37620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×61442224416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459460 + ... + 577916.

Almost surely, 2^61442224416 is an apocalyptic number.

It is an amenable number.

61442224416 is an abundant number, since it is smaller than the sum of its proper divisors (113382593388).

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

61442224416 is a wasteful number, since it uses less digits than its factorization.

61442224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120274 (or 120263 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 61442224416 in words is "sixty-one billion, four hundred forty-two million, two hundred twenty-four thousand, four hundred sixteen".