48275466624 has 576 divisors, whose sum is σ = 177527001600. Its totient is φ = 12231198720.

The previous prime is 48275466619. The next prime is 48275466637. The reversal of 48275466624 is 42666457284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581632087 + ... + 581632169.

It is an arithmetic number, because the mean of its divisors is an integer number (308206600).

Almost surely, 2^48275466624 is an apocalyptic number.

48275466624 is a gapful number since it is divisible by the number (44) 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 48275466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88763500800).

48275466624 is an abundant number, since it is smaller than the sum of its proper divisors (129251534976).

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

48275466624 is a wasteful number, since it uses less digits than its factorization.

48275466624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 185 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 48275466624 in words is "forty-eight billion, two hundred seventy-five million, four hundred sixty-six thousand, six hundred twenty-four".