45034126000 has 80 divisors (see below), whose sum is σ = 108948696480. Its totient is φ = 18004358400.

The previous prime is 45034125953. The next prime is 45034126001. The reversal of 45034126000 is 62143054.

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 not an unprimeable number, because it can be changed into a prime (45034126001) 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 15 ways as a sum of consecutive naturals, for example, 4913422 + ... + 4922578.

It is an arithmetic number, because the mean of its divisors is an integer number (1361858706).

Almost surely, 2^45034126000 is an apocalyptic number.

45034126000 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 45034126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54474348240).

45034126000 is an abundant number, since it is smaller than the sum of its proper divisors (63914570480).

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

45034126000 is a wasteful number, since it uses less digits than its factorization.

45034126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11639 (or 11623 counting only the distinct ones).

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

Adding to 45034126000 its reverse (62143054), we get a palindrome (45096269054).

The spelling of 45034126000 in words is "forty-five billion, thirty-four million, one hundred twenty-six thousand".