61444402272 has 144 divisors (see below), whose sum is σ = 190785892752. Its totient is φ = 18603048960.

The previous prime is 61444402267. The next prime is 61444402301. The reversal of 61444402272 is 27220444416.

61444402272 is a `hidden beast` number, since 6 + 144 + 440 + 2 + 2 + 72 = 666.

61444402272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3847488 + ... + 3863424.

It is an arithmetic number, because the mean of its divisors is an integer number (1324902033).

Almost surely, 2^61444402272 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 61444402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95392946376).

61444402272 is an abundant number, since it is smaller than the sum of its proper divisors (129341490480).

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

61444402272 is a wasteful number, since it uses less digits than its factorization.

61444402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17181 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 61444402272 its reverse (27220444416), we get a palindrome (88664846688).

The spelling of 61444402272 in words is "sixty-one billion, four hundred forty-four million, four hundred two thousand, two hundred seventy-two".