48270144996864 has 480 divisors, whose sum is σ = 166423848370560. Its totient is φ = 13773793775616.

The previous prime is 48270144996851. The next prime is 48270144996881. The reversal of 48270144996864 is 46869944107284.

48270144996864 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 0 + 14 + 499 + 68 + 64 = 666.

It is a super-3 number, since 3×48270144996864³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48270144996792 and 48270144996801.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 533049639 + ... + 533140185.

It is an arithmetic number, because the mean of its divisors is an integer number (346716350772).

Almost surely, 2^{48270144996864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48270144996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83211924185280).

48270144996864 is an abundant number, since it is smaller than the sum of its proper divisors (118153703373696).

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

48270144996864 is an equidigital number, since it uses as much as digits as its factorization.

48270144996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91375 (or 91346 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 48270144996864 in words is "forty-eight trillion, two hundred seventy billion, one hundred forty-four million, nine hundred ninety-six thousand, eight hundred sixty-four".