48951044100000 has 1296 divisors, whose sum is σ = 203769923640192. Its totient is φ = 11113200000000.

The previous prime is 48951044099983. The next prime is 48951044100011. The reversal of 48951044100000 is 144015984.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6659096325 + ... + 6659103675.

It is an arithmetic number, because the mean of its divisors is an integer number (157229879352).

Almost surely, 2^{48951044100000} is an apocalyptic number.

48951044100000 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 48951044100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101884961820096).

48951044100000 is an abundant number, since it is smaller than the sum of its proper divisors (154818879540192).

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

48951044100000 is a wasteful number, since it uses less digits than its factorization.

48951044100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7557 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 48951044100000 its reverse (144015984), we get a palindrome (48951188115984).

The spelling of 48951044100000 in words is "forty-eight trillion, nine hundred fifty-one billion, forty-four million, one hundred thousand".