450547148376192 has 256 divisors, whose sum is σ = 1379917595531520. Its totient is φ = 127581050634240.

The previous prime is 450547148376191. The next prime is 450547148376223. The reversal of 450547148376192 is 291673841745054.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (450547148376191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6992458408 + ... + 6992522840.

It is an arithmetic number, because the mean of its divisors is an integer number (5390303107545).

It is a 2-persistent number, because it is pandigital, and so is 2⋅450547148376192 = 901094296752384, but 3⋅450547148376192 = 1351641445128576 is not.

Almost surely, 2^{450547148376192} is an apocalyptic number.

450547148376192 is a gapful number since it is divisible by the number (42) 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 450547148376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689958797765760).

450547148376192 is an abundant number, since it is smaller than the sum of its proper divisors (929370447155328).

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

450547148376192 is a wasteful number, since it uses less digits than its factorization.

450547148376192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87591 (or 87579 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 450547148376192 in words is "four hundred fifty trillion, five hundred forty-seven billion, one hundred forty-eight million, three hundred seventy-six thousand, one hundred ninety-two".