48353034481920 has 3456 divisors, whose sum is σ = 220975224422400. Its totient is φ = 9936255909888.

The previous prime is 48353034481889. The next prime is 48353034481931. The reversal of 48353034481920 is 2918443035384.

48353034481920 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 3 + 0 + 3 + 448 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 165027421294 + ... + 165027421586.

It is an arithmetic number, because the mean of its divisors is an integer number (63939590400).

Almost surely, 2^{48353034481920} is an apocalyptic number.

48353034481920 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 48353034481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110487612211200).

48353034481920 is an abundant number, since it is smaller than the sum of its proper divisors (172622189940480).

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

48353034481920 is a wasteful number, since it uses less digits than its factorization.

48353034481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 48353034481920 in words is "forty-eight trillion, three hundred fifty-three billion, thirty-four million, four hundred eighty-one thousand, nine hundred twenty".