48908841062400 has 1872 divisors, whose sum is σ = 207679263866880. Its totient is φ = 10868981760000.

The previous prime is 48908841062317. The next prime is 48908841062407. The reversal of 48908841062400 is 426014880984.

It is a happy number.

48908841062400 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 8 + 8 + 4 + 1 + 0 + 624 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (48908841062407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5971042305 + ... + 5971050495.

Almost surely, 2^{48908841062400} is an apocalyptic number.

48908841062400 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 48908841062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103839631933440).

48908841062400 is an abundant number, since it is smaller than the sum of its proper divisors (158770422804480).

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

48908841062400 is a wasteful number, since it uses less digits than its factorization.

48908841062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48908841062400 in words is "forty-eight trillion, nine hundred eight billion, eight hundred forty-one million, sixty-two thousand, four hundred".