45034214000 has 80 divisors (see below), whose sum is σ = 108939875616. Its totient is φ = 18005888000.

The previous prime is 45034213979. The next prime is 45034214047. The reversal of 45034214000 is 41243054.

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

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 15 ways as a sum of consecutive naturals, for example, 7519007 + ... + 7524993.

Almost surely, 2^45034214000 is an apocalyptic number.

45034214000 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 45034214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54469937808).

45034214000 is an abundant number, since it is smaller than the sum of its proper divisors (63905661616).

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

45034214000 is a wasteful number, since it uses less digits than its factorization.

45034214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 45034214000 its reverse (41243054), we get a palindrome (45075457054).

The spelling of 45034214000 in words is "forty-five billion, thirty-four million, two hundred fourteen thousand".