77148936288 has 36 divisors (see below), whose sum is σ = 219392288388. Its totient is φ = 25716312000.

The previous prime is 77148936283. The next prime is 77148936367. The reversal of 77148936288 is 88263984177.

77148936288 is a `hidden beast` number, since 7 + 71 + 489 + 3 + 6 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77148936281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133938838 + ... + 133939413.

It is an arithmetic number, because the mean of its divisors is an integer number (6094230233).

Almost surely, 2^77148936288 is an apocalyptic number.

It is an amenable number.

77148936288 is an abundant number, since it is smaller than the sum of its proper divisors (142243352100).

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

77148936288 is a wasteful number, since it uses less digits than its factorization.

77148936288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267878267 (or 267878256 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 77148936288 in words is "seventy-seven billion, one hundred forty-eight million, nine hundred thirty-six thousand, two hundred eighty-eight".