45341314000 has 80 divisors (see below), whose sum is σ = 109681640640. Its totient is φ = 18128860800.

The previous prime is 45341313949. The next prime is 45341314033. The reversal of 45341314000 is 41314354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 8515339 + ... + 8520661.

It is an arithmetic number, because the mean of its divisors is an integer number (1371020508).

Almost surely, 2^45341314000 is an apocalyptic number.

45341314000 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 45341314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840820320).

45341314000 is an abundant number, since it is smaller than the sum of its proper divisors (64340326640).

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

45341314000 is a wasteful number, since it uses less digits than its factorization.

45341314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45341314000 its reverse (41314354), we get a palindrome (45382628354).

The spelling of 45341314000 in words is "forty-five billion, three hundred forty-one million, three hundred fourteen thousand".