61969132096 has 105 divisors (see below), whose sum is σ = 130897018749. Its totient is φ = 29107588608.

The previous prime is 61969132081. The next prime is 61969132117. The reversal of 61969132096 is 69023196916.

The square root of 61969132096 is 248936.

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

61969132096 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 7 ways, for example, as 4783105600 + 57186026496 = 69160^2 + 239136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1674841390 + ... + 1674841426.

Almost surely, 2^61969132096 is an apocalyptic number.

61969132096 is the 248936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61969132096

61969132096 is an abundant number, since it is smaller than the sum of its proper divisors (68927886653).

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

61969132096 is an frugal number, since it uses more digits than its factorization.

61969132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 61969132096 in words is "sixty-one billion, nine hundred sixty-nine million, one hundred thirty-two thousand, ninety-six".