48397461504000 has 1440 divisors, whose sum is σ = 197241884461440. Its totient is φ = 10478813184000.

The previous prime is 48397461503947. The next prime is 48397461504011. The reversal of 48397461504000 is 40516479384.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5720059770 + ... + 5720068230.

It is an arithmetic number, because the mean of its divisors is an integer number (136973530876).

Almost surely, 2^{48397461504000} is an apocalyptic number.

48397461504000 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 48397461504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98620942230720).

48397461504000 is an abundant number, since it is smaller than the sum of its proper divisors (148844422957440).

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

48397461504000 is an equidigital number, since it uses as much as digits as its factorization.

48397461504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 48397461504000 in words is "forty-eight trillion, three hundred ninety-seven billion, four hundred sixty-one million, five hundred four thousand".