45541134100 has 216 divisors, whose sum is σ = 128085052032. Its totient is φ = 13891852800.

The previous prime is 45541134091. The next prime is 45541134127. The reversal of 45541134100 is 143114554.

45541134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45541134100³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2524312 + ... + 2542288.

It is an arithmetic number, because the mean of its divisors is an integer number (592986352).

Almost surely, 2^45541134100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45541134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64042526016).

45541134100 is an abundant number, since it is smaller than the sum of its proper divisors (82543917932).

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

45541134100 is a wasteful number, since it uses less digits than its factorization.

45541134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18063 (or 18049 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 45541134100 its reverse (143114554), we get a palindrome (45684248654).

The spelling of 45541134100 in words is "forty-five billion, five hundred forty-one million, one hundred thirty-four thousand, one hundred".