61845905952 has 72 divisors (see below), whose sum is σ = 176500413180. Its totient is φ = 20541911040.

The previous prime is 61845905929. The next prime is 61845905981. The reversal of 61845905952 is 25950954816.

61845905952 is a `hidden beast` number, since 6 + 1 + 8 + 45 + 9 + 0 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60829316496 + 1016589456 = 246636^2 + 31884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301177 + ... + 463032.

Almost surely, 2^61845905952 is an apocalyptic number.

It is an amenable number.

61845905952 is an abundant number, since it is smaller than the sum of its proper divisors (114654507228).

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

61845905952 is a wasteful number, since it uses less digits than its factorization.

61845905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764506 (or 764495 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 61845905952 in words is "sixty-one billion, eight hundred forty-five million, nine hundred five thousand, nine hundred fifty-two".