61548648100 has 27 divisors (see below), whose sum is σ = 133565950147. Its totient is φ = 24618466880.

The previous prime is 61548648067. The next prime is 61548648137. The reversal of 61548648100 is 184684516.

The square root of 61548648100 is 248090.

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

61548648100 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 4 ways, for example, as 4900840036 + 56647808064 = 70006^2 + 238008^2 .

It is a super-2 number, since 2×61548648100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2468496 + ... + 2493304.

Almost surely, 2^61548648100 is an apocalyptic number.

61548648100 is the 248090-th square number.

It is an amenable number.

61548648100 is an abundant number, since it is smaller than the sum of its proper divisors (72017302047).

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

61548648100 is an frugal number, since it uses more digits than its factorization.

61548648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49632 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 61548648100 in words is "sixty-one billion, five hundred forty-eight million, six hundred forty-eight thousand, one hundred".