48331525846400 has 192 divisors, whose sum is σ = 120252221810160. Its totient is φ = 19194126336000.

The previous prime is 48331525846361. The next prime is 48331525846451. The reversal of 48331525846400 is 464852513384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255172532 + ... + 255361868.

Almost surely, 2^{48331525846400} is an apocalyptic number.

48331525846400 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 48331525846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60126110905080).

48331525846400 is an abundant number, since it is smaller than the sum of its proper divisors (71920695963760).

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

48331525846400 is a wasteful number, since it uses less digits than its factorization.

48331525846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189933 (or 189916 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 53.

The spelling of 48331525846400 in words is "forty-eight trillion, three hundred thirty-one billion, five hundred twenty-five million, eight hundred forty-six thousand, four hundred".