1450829327418 has 80 divisors (see below), whose sum is σ = 3350562716160. Its totient is φ = 468977550624.

The previous prime is 1450829327411. The next prime is 1450829327449. The reversal of 1450829327418 is 8147239280541.

1450829327418 is a `hidden beast` number, since 1 + 4 + 508 + 2 + 93 + 2 + 7 + 41 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1450829327411) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 44146 + ... + 1703997.

It is an arithmetic number, because the mean of its divisors is an integer number (41882033952).

Almost surely, 2^{1450829327418} is an apocalyptic number.

1450829327418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450829327418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675281358080).

1450829327418 is an abundant number, since it is smaller than the sum of its proper divisors (1899733388742).

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

1450829327418 is a wasteful number, since it uses less digits than its factorization.

1450829327418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748313 (or 1748304 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1450829327418 in words is "one trillion, four hundred fifty billion, eight hundred twenty-nine million, three hundred twenty-seven thousand, four hundred eighteen".