61105484016096 has 192 divisors, whose sum is σ = 173723847087168. Its totient is φ = 18694755975168.

The previous prime is 61105484016091. The next prime is 61105484016107. The reversal of 61105484016096 is 69061048450116.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61105484016091) 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, 480941890 + ... + 481068926.

It is an arithmetic number, because the mean of its divisors is an integer number (904811703579).

Almost surely, 2^{61105484016096} 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 61105484016096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86861923543584).

61105484016096 is an abundant number, since it is smaller than the sum of its proper divisors (112618363071072).

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

61105484016096 is a wasteful number, since it uses less digits than its factorization.

61105484016096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129253 (or 129245 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 61105484016096 in words is "sixty-one trillion, one hundred five billion, four hundred eighty-four million, sixteen thousand, ninety-six".