48411922396320 has 1152 divisors, whose sum is σ = 204740843553792. Its totient is φ = 10166059008000.

The previous prime is 48411922396309. The next prime is 48411922396333. The reversal of 48411922396320 is 2369322911484.

It is a happy number.

48411922396320 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 1 + 9 + 223 + 96 + 320 = 666.

It is a super-2 number, since 2×48411922396320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1228802862 + ... + 1228842258.

It is an arithmetic number, because the mean of its divisors is an integer number (177726426696).

Almost surely, 2^{48411922396320} is an apocalyptic number.

48411922396320 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 48411922396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102370421776896).

48411922396320 is an abundant number, since it is smaller than the sum of its proper divisors (156328921157472).

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

48411922396320 is a wasteful number, since it uses less digits than its factorization.

48411922396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39614 (or 39603 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 48411922396320 in words is "forty-eight trillion, four hundred eleven billion, nine hundred twenty-two million, three hundred ninety-six thousand, three hundred twenty".