48230054233920 has 1568 divisors, whose sum is σ = 196886324194560. Its totient is φ = 11142975651840.

The previous prime is 48230054233891. The next prime is 48230054233939. The reversal of 48230054233920 is 2933245003284.

48230054233920 is a `hidden beast` number, since 4 + 8 + 2 + 300 + 5 + 4 + 2 + 339 + 2 + 0 = 666.

It is a super-2 number, since 2×48230054233920² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 223 ways as a sum of consecutive naturals, for example, 22632591255 + ... + 22632593385.

Almost surely, 2^{48230054233920} is an apocalyptic number.

48230054233920 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 48230054233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98443162097280).

48230054233920 is an abundant number, since it is smaller than the sum of its proper divisors (148656269960640).

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

48230054233920 is a wasteful number, since it uses less digits than its factorization.

48230054233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 48230054233920 in words is "forty-eight trillion, two hundred thirty billion, fifty-four million, two hundred thirty-three thousand, nine hundred twenty".