48037968679968 has 120 divisors (see below), whose sum is σ = 141280613421948. Its totient is φ = 16012397592576.

The previous prime is 48037968679963. The next prime is 48037968679973. The reversal of 48037968679968 is 86997686973084.

48037968679968 is a `hidden beast` number, since 4 + 8 + 0 + 379 + 6 + 86 + 79 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48037968679963) and next prime (48037968679973).

It can be written as a sum of positive squares in 2 ways, for example, as 39482975468304 + 8554993211664 = 6283548^2 + 2924892^2 .

It is not an unprimeable number, because it can be changed into a prime (48037968679963) 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 19 ways as a sum of consecutive naturals, for example, 226624080 + ... + 226835952.

Almost surely, 2^{48037968679968} is an apocalyptic number.

48037968679968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48037968679968 is an abundant number, since it is smaller than the sum of its proper divisors (93242644741980).

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

48037968679968 is a wasteful number, since it uses less digits than its factorization.

48037968679968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299368 (or 299351 counting only the distinct ones).

The product of its (nonzero) digits is 47405481984, while the sum is 90.

The spelling of 48037968679968 in words is "forty-eight trillion, thirty-seven billion, nine hundred sixty-eight million, six hundred seventy-nine thousand, nine hundred sixty-eight".