61452505728 has 48 divisors (see below), whose sum is σ = 176835989850. Its totient is φ = 20484168192.

The previous prime is 61452505703. The next prime is 61452505729. The reversal of 61452505728 is 82750525416.

61452505728 is a `hidden beast` number, since 614 + 5 + 2 + 5 + 0 + 5 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60126963264 + 1325542464 = 245208^2 + 36408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (61452505729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26670943 + ... + 26673246.

Almost surely, 2^61452505728 is an apocalyptic number.

It is an amenable number.

61452505728 is an abundant number, since it is smaller than the sum of its proper divisors (115383484122).

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

61452505728 is a wasteful number, since it uses less digits than its factorization.

61452505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53344209 (or 53344194 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 61452505728 in words is "sixty-one billion, four hundred fifty-two million, five hundred five thousand, seven hundred twenty-eight".