448681152150 has 384 divisors, whose sum is σ = 1632122680320. Its totient is φ = 87747840000.

The previous prime is 448681152149. The next prime is 448681152191. The reversal of 448681152150 is 51251186844.

448681152150 is a `hidden beast` number, since 4 + 4 + 8 + 68 + 11 + 521 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 448681152096 and 448681152105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1640200 + ... + 1894100.

It is an arithmetic number, because the mean of its divisors is an integer number (4250319480).

Almost surely, 2^448681152150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448681152150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816061340160).

448681152150 is an abundant number, since it is smaller than the sum of its proper divisors (1183441528170).

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

448681152150 is a wasteful number, since it uses less digits than its factorization.

448681152150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253957 (or 253946 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 448681152150 in words is "four hundred forty-eight billion, six hundred eighty-one million, one hundred fifty-two thousand, one hundred fifty".