48338414392320 has 2816 divisors, whose sum is σ = 200302637875200. Its totient is φ = 10955933614080.

The previous prime is 48338414392283. The next prime is 48338414392421. The reversal of 48338414392320 is 2329341483384.

It is a happy number.

48338414392320 is a `hidden beast` number, since 4 + 8 + 3 + 384 + 143 + 92 + 32 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 307887989682 + ... + 307887989838.

Almost surely, 2^{48338414392320} is an apocalyptic number.

48338414392320 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 48338414392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100151318937600).

48338414392320 is an abundant number, since it is smaller than the sum of its proper divisors (151964223482880).

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

48338414392320 is a wasteful number, since it uses less digits than its factorization.

48338414392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 48338414392320 in words is "forty-eight trillion, three hundred thirty-eight billion, four hundred fourteen million, three hundred ninety-two thousand, three hundred twenty".