48014480263680 has 2880 divisors, whose sum is σ = 208045034765568. Its totient is φ = 10574683176960.

The previous prime is 48014480263669. The next prime is 48014480263709. The reversal of 48014480263680 is 8636208441084.

It is a happy number.

48014480263680 is a `hidden beast` number, since 4 + 80 + 1 + 4 + 480 + 2 + 6 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×48014480263680³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 128725147974 + ... + 128725148346.

Almost surely, 2^{48014480263680} is an apocalyptic number.

48014480263680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48014480263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104022517382784).

48014480263680 is an abundant number, since it is smaller than the sum of its proper divisors (160030554501888).

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

48014480263680 is a wasteful number, since it uses less digits than its factorization.

48014480263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 48014480263680 in words is "forty-eight trillion, fourteen billion, four hundred eighty million, two hundred sixty-three thousand, six hundred eighty".