61265055466000 has 80 divisors (see below), whose sum is σ = 148294353540528. Its totient is φ = 24480306816000.

The previous prime is 61265055465973. The next prime is 61265055466001. The reversal of 61265055466000 is 66455056216.

It can be written as a sum of positive squares in 8 ways, for example, as 30632948367616 + 30632107098384 = 5534704^2 + 5534628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61265055466001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14165631 + ... + 17977630.

Almost surely, 2^{61265055466000} is an apocalyptic number.

It is an amenable number.

61265055466000 is an abundant number, since it is smaller than the sum of its proper divisors (87029298074528).

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

61265055466000 is a wasteful number, since it uses less digits than its factorization.

61265055466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32144237 (or 32144221 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 61265055466000 in words is "sixty-one trillion, two hundred sixty-five billion, fifty-five million, four hundred sixty-six thousand".