48151418112000 has 5376 divisors, whose sum is σ = 225221152665600. Its totient is φ = 10032906240000.

The previous prime is 48151418111939. The next prime is 48151418112043. The reversal of 48151418112000 is 21181415184.

48151418112000 is a `hidden beast` number, since 4 + 8 + 1 + 514 + 18 + 1 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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 447 ways as a sum of consecutive naturals, for example, 1174424831980 + ... + 1174424832020.

It is an arithmetic number, because the mean of its divisors is an integer number (41893815600).

Almost surely, 2^{48151418112000} is an apocalyptic number.

48151418112000 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 48151418112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112610576332800).

48151418112000 is an abundant number, since it is smaller than the sum of its proper divisors (177069734553600).

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

48151418112000 is an equidigital number, since it uses as much as digits as its factorization.

48151418112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

Adding to 48151418112000 its reverse (21181415184), we get a palindrome (48172599527184).

The spelling of 48151418112000 in words is "forty-eight trillion, one hundred fifty-one billion, four hundred eighteen million, one hundred twelve thousand".