45131418600 has 192 divisors, whose sum is σ = 143100483840. Its totient is φ = 11762150400.

The previous prime is 45131418557. The next prime is 45131418601. The reversal of 45131418600 is 681413154.

It is not an unprimeable number, because it can be changed into a prime (45131418601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8615182 + ... + 8620418.

It is an arithmetic number, because the mean of its divisors is an integer number (745315020).

Almost surely, 2^45131418600 is an apocalyptic number.

45131418600 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 45131418600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71550241920).

45131418600 is an abundant number, since it is smaller than the sum of its proper divisors (97969065240).

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

45131418600 is a wasteful number, since it uses less digits than its factorization.

45131418600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 45131418600 in words is "forty-five billion, one hundred thirty-one million, four hundred eighteen thousand, six hundred".