45226364100 has 144 divisors (see below), whose sum is σ = 132305031936. Its totient is φ = 11927120000.

The previous prime is 45226364093. The next prime is 45226364119. The reversal of 45226364100 is 146362254.

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 47 ways as a sum of consecutive naturals, for example, 31168375 + ... + 31169825.

It is an arithmetic number, because the mean of its divisors is an integer number (918784944).

Almost surely, 2^45226364100 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 45226364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66152515968).

45226364100 is an abundant number, since it is smaller than the sum of its proper divisors (87078667836).

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

45226364100 is a wasteful number, since it uses less digits than its factorization.

45226364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 45226364100 in words is "forty-five billion, two hundred twenty-six million, three hundred sixty-four thousand, one hundred".