450131650515000 has 480 divisors, whose sum is σ = 1547374316716800. Its totient is φ = 118159459200000.

The previous prime is 450131650514999. The next prime is 450131650515059. The reversal of 450131650515000 is 515056131054.

450131650515000 is a `hidden beast` number, since 4 + 5 + 0 + 131 + 6 + 5 + 0 + 515 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 785998761 + ... + 786571239.

It is an arithmetic number, because the mean of its divisors is an integer number (3223696493160).

Almost surely, 2^{450131650515000} is an apocalyptic number.

450131650515000 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 450131650515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773687158358400).

450131650515000 is an abundant number, since it is smaller than the sum of its proper divisors (1097242666201800).

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

450131650515000 is a wasteful number, since it uses less digits than its factorization.

450131650515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572785 (or 572763 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 450131650515000 in words is "four hundred fifty trillion, one hundred thirty-one billion, six hundred fifty million, five hundred fifteen thousand".