61889498176 has 105 divisors (see below), whose sum is σ = 135620027845. Its totient is φ = 28022128640.

The previous prime is 61889498159. The next prime is 61889498197. The reversal of 61889498176 is 67189498816.

The square root of 61889498176 is 248776.

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., 60929985600 + 959512576 = 246840^2 + 30976^2 .

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, 240815040 + ... + 240815296.

Almost surely, 2^61889498176 is an apocalyptic number.

61889498176 is the 248776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61889498176

61889498176 is an abundant number, since it is smaller than the sum of its proper divisors (73730529669).

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

61889498176 is an frugal number, since it uses more digits than its factorization.

61889498176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 270 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 67.

It can be divided in two parts, 61889 and 498176, that added together give a palindrome (560065).

The spelling of 61889498176 in words is "sixty-one billion, eight hundred eighty-nine million, four hundred ninety-eight thousand, one hundred seventy-six".