45130616524800 has 468 divisors, whose sum is σ = 161739226509120. Its totient is φ = 12028051783680.

The previous prime is 45130616524793. The next prime is 45130616524817. The reversal of 45130616524800 is 842561603154.

45130616524800 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 0 + 6 + 165 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1757478361 + ... + 1757504039.

It is an arithmetic number, because the mean of its divisors is an integer number (345596637840).

Almost surely, 2^{45130616524800} is an apocalyptic number.

45130616524800 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 45130616524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80869613254560).

45130616524800 is an abundant number, since it is smaller than the sum of its proper divisors (116608609984320).

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

45130616524800 is a wasteful number, since it uses less digits than its factorization.

45130616524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27626 (or 27596 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45130616524800 in words is "forty-five trillion, one hundred thirty billion, six hundred sixteen million, five hundred twenty-four thousand, eight hundred".