48368117840800 has 72 divisors (see below), whose sum is σ = 125024471695116. Its totient is φ = 18209173770240.

The previous prime is 48368117840729. The next prime is 48368117840813. The reversal of 48368117840800 is 804871186384.

It can be written as a sum of positive squares in 6 ways, for example, as 28903397411344 + 19464720429456 = 5376188^2 + 4411884^2 .

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, 1778226027 + ... + 1778253226.

Almost surely, 2^{48368117840800} is an apocalyptic number.

48368117840800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48368117840800 is an abundant number, since it is smaller than the sum of its proper divisors (76656353854316).

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

48368117840800 is a wasteful number, since it uses less digits than its factorization.

48368117840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556479290 (or 3556479277 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 58.

The spelling of 48368117840800 in words is "forty-eight trillion, three hundred sixty-eight billion, one hundred seventeen million, eight hundred forty thousand, eight hundred".