48886249344000 has 1408 divisors, whose sum is σ = 171604214046720. Its totient is φ = 12336758784000.

The previous prime is 48886249343993. The next prime is 48886249344001. The reversal of 48886249344000 is 44394268884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (48886249344001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180392063865 + ... + 180392064135.

Almost surely, 2^{48886249344000} is an apocalyptic number.

48886249344000 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 48886249344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85802107023360).

48886249344000 is an abundant number, since it is smaller than the sum of its proper divisors (122717964702720).

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

48886249344000 is a wasteful number, since it uses less digits than its factorization.

48886249344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 48886249344000 in words is "forty-eight trillion, eight hundred eighty-six billion, two hundred forty-nine million, three hundred forty-four thousand".