61488129024 has 693 divisors, whose sum is σ = 219734443281. Its totient is φ = 17139548160.

The previous prime is 61488129011. The next prime is 61488129029. The reversal of 61488129024 is 42092188416.

The square root of 61488129024 is 247968.

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

61488129024 is a `hidden beast` number, since 61 + 488 + 1 + 2 + 90 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 58525286400 = 54432^2 + 241920^2 .

It is not an unprimeable number, because it can be changed into a prime (61488129029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1499710444 + ... + 1499710484.

Almost surely, 2^61488129024 is an apocalyptic number.

61488129024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61488129024 is the 247968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61488129024

61488129024 is an abundant number, since it is smaller than the sum of its proper divisors (158246314257).

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

61488129024 is an frugal number, since it uses more digits than its factorization.

61488129024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 61488129024 in words is "sixty-one billion, four hundred eighty-eight million, one hundred twenty-nine thousand, twenty-four".