48077661679068 has 96 divisors (see below), whose sum is σ = 133653136232448. Its totient is φ = 13161745152000.

The previous prime is 48077661679057. The next prime is 48077661679079. The reversal of 48077661679068 is 86097616677084.

It is an interprime number because it is at equal distance from previous prime (48077661679057) and next prime (48077661679079).

It is a super-3 number, since 3×48077661679068³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91138005 + ... + 91664012.

It is an arithmetic number, because the mean of its divisors is an integer number (1392220169088).

Almost surely, 2^{48077661679068} is an apocalyptic number.

It is an amenable number.

48077661679068 is an abundant number, since it is smaller than the sum of its proper divisors (85575474553380).

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

48077661679068 is a wasteful number, since it uses less digits than its factorization.

48077661679068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182802163 (or 182802161 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 75.

The spelling of 48077661679068 in words is "forty-eight trillion, seventy-seven billion, six hundred sixty-one million, six hundred seventy-nine thousand, sixty-eight".