45511126000 has 80 divisors (see below), whose sum is σ = 110849824800. Its totient is φ = 18071462400.

The previous prime is 45511125973. The next prime is 45511126081. The reversal of 45511126000 is 62111554.

It is a happy number.

45511126000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190951 + ... + 357049.

It is an arithmetic number, because the mean of its divisors is an integer number (1385622810).

Almost surely, 2^45511126000 is an apocalyptic number.

45511126000 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 45511126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55424912400).

45511126000 is an abundant number, since it is smaller than the sum of its proper divisors (65338698800).

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

45511126000 is a wasteful number, since it uses less digits than its factorization.

45511126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166259 (or 166243 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 45511126000 its reverse (62111554), we get a palindrome (45573237554).

The spelling of 45511126000 in words is "forty-five billion, five hundred eleven million, one hundred twenty-six thousand".