48264417630 has 576 divisors, whose sum is σ = 159832258560. Its totient is φ = 9980006400.

The previous prime is 48264417601. The next prime is 48264417697. The reversal of 48264417630 is 3671446284.

48264417630 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 4 + 4 + 1 + 7 + 630 = 666.

48264417630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 201943051 + ... + 201943289.

It is an arithmetic number, because the mean of its divisors is an integer number (277486560).

Almost surely, 2^48264417630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48264417630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79916129280).

48264417630 is an abundant number, since it is smaller than the sum of its proper divisors (111567840930).

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

48264417630 is a wasteful number, since it uses less digits than its factorization.

48264417630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 48264417630 in words is "forty-eight billion, two hundred sixty-four million, four hundred seventeen thousand, six hundred thirty".