1450822345830 has 384 divisors, whose sum is σ = 4517930027520. Its totient is φ = 318386350080.

The previous prime is 1450822345783. The next prime is 1450822345849. The reversal of 1450822345830 is 385432280541.

1450822345830 is a `hidden beast` number, since 1 + 4 + 508 + 2 + 23 + 45 + 83 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168167977 + ... + 168176603.

It is an arithmetic number, because the mean of its divisors is an integer number (11765442780).

Almost surely, 2^{1450822345830} is an apocalyptic number.

1450822345830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450822345830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258965013760).

1450822345830 is an abundant number, since it is smaller than the sum of its proper divisors (3067107681690).

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

1450822345830 is a wasteful number, since it uses less digits than its factorization.

1450822345830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1450822345830 in words is "one trillion, four hundred fifty billion, eight hundred twenty-two million, three hundred forty-five thousand, eight hundred thirty".