48643307032320 has 3888 divisors, whose sum is σ = 240449625168480. Its totient is φ = 9325586350080.

The previous prime is 48643307032277. The next prime is 48643307032349. The reversal of 48643307032320 is 2323070334684.

48643307032320 is a `hidden beast` number, since 4 + 86 + 4 + 330 + 7 + 0 + 3 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 431 ways as a sum of consecutive naturals, for example, 23974029066 + ... + 23974031094.

Almost surely, 2^{48643307032320} is an apocalyptic number.

48643307032320 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 48643307032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120224812584240).

48643307032320 is an abundant number, since it is smaller than the sum of its proper divisors (191806318136160).

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

48643307032320 is a wasteful number, since it uses less digits than its factorization.

48643307032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 48643307032320 in words is "forty-eight trillion, six hundred forty-three billion, three hundred seven million, thirty-two thousand, three hundred twenty".