48252149254400 has 432 divisors, whose sum is σ = 153383780976384. Its totient is φ = 14607048867840.

The previous prime is 48252149254357. The next prime is 48252149254451. The reversal of 48252149254400 is 445294125284.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11594102 + ... + 15196298.

Almost surely, 2^{48252149254400} is an apocalyptic number.

48252149254400 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 48252149254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76691890488192).

48252149254400 is an abundant number, since it is smaller than the sum of its proper divisors (105131631721984).

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

48252149254400 is a wasteful number, since it uses less digits than its factorization.

48252149254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602266 (or 3602247 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 48252149254400 in words is "forty-eight trillion, two hundred fifty-two billion, one hundred forty-nine million, two hundred fifty-four thousand, four hundred".