61194572708416 has 189 divisors, whose sum is σ = 142296748142409. Its totient is φ = 26034933593088.

The previous prime is 61194572708393. The next prime is 61194572708431. The reversal of 61194572708416 is 61480727549116.

It is a happy number.

The square root of 61194572708416 is 7822696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56709936360000 + 4484636348416 = 7530600^2 + 2117696^2 .

It is a super-2 number, since 2×61194572708416² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71405568660 + ... + 71405569516.

Almost surely, 2^{61194572708416} is an apocalyptic number.

61194572708416 is the 7822696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61194572708416

61194572708416 is an abundant number, since it is smaller than the sum of its proper divisors (81102175433993).

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

61194572708416 is an frugal number, since it uses more digits than its factorization.

61194572708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 61194572708416 in words is "sixty-one trillion, one hundred ninety-four billion, five hundred seventy-two million, seven hundred eight thousand, four hundred sixteen".