61857658944 has 189 divisors, whose sum is σ = 182279379789. Its totient is φ = 20056135680.

The previous prime is 61857658927. The next prime is 61857658979. The reversal of 61857658944 is 44985675816.

The square root of 61857658944 is 248712.

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

61857658944 is a `hidden beast` number, since 6 + 1 + 8 + 5 + 7 + 6 + 589 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46521313344 + 15336345600 = 215688^2 + 123840^2 .

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, 256670664 + ... + 256670904.

Almost surely, 2^61857658944 is an apocalyptic number.

61857658944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61857658944 is the 248712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61857658944

61857658944 is an abundant number, since it is smaller than the sum of its proper divisors (120421720845).

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

61857658944 is an equidigital number, since it uses as much as digits as its factorization.

61857658944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 289 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

It can be divided in two parts, 61857 and 658944, that added together give a square (720801 = 849²).

The spelling of 61857658944 in words is "sixty-one billion, eight hundred fifty-seven million, six hundred fifty-eight thousand, nine hundred forty-four".