61140474756 has 189 divisors, whose sum is σ = 170013353013. Its totient is φ = 19227404160.

The previous prime is 61140474701. The next prime is 61140474763. The reversal of 61140474756 is 65747404116.

The square root of 61140474756 is 247266.

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., 45981940356 + 15158534400 = 214434^2 + 123120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 253694796 + ... + 253695036.

Almost surely, 2^61140474756 is an apocalyptic number.

61140474756 is the 247266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61140474756

61140474756 is an abundant number, since it is smaller than the sum of its proper divisors (108872878257).

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

61140474756 is an equidigital number, since it uses as much as digits as its factorization.

61140474756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 61140474756 in words is "sixty-one billion, one hundred forty million, four hundred seventy-four thousand, seven hundred fifty-six".