61106273198208 has 384 divisors, whose sum is σ = 207719046512640. Its totient is φ = 16873194240000.

The previous prime is 61106273198203. The next prime is 61106273198219. The reversal of 61106273198208 is 80289137260116.

61106273198208 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 627 + 3 + 1 + 9 + 8 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×61106273198208² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61106273198203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187575241 + ... + 187900727.

It is an arithmetic number, because the mean of its divisors is an integer number (540935016960).

Almost surely, 2^{61106273198208} 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 61106273198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103859523256320).

61106273198208 is an abundant number, since it is smaller than the sum of its proper divisors (146612773314432).

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

61106273198208 is a wasteful number, since it uses less digits than its factorization.

61106273198208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326296 (or 326281 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 61106273198208 in words is "sixty-one trillion, one hundred six billion, two hundred seventy-three million, one hundred ninety-eight thousand, two hundred eight".