45510313532400 has 360 divisors, whose sum is σ = 166261716270000. Its totient is φ = 11496235806720.

The previous prime is 45510313532399. The next prime is 45510313532441. The reversal of 45510313532400 is 423531301554.

45510313532400 is a `hidden beast` number, since 4 + 5 + 5 + 10 + 313 + 5 + 324 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 892526106 + ... + 892577094.

It is an arithmetic number, because the mean of its divisors is an integer number (461838100750).

Almost surely, 2^{45510313532400} is an apocalyptic number.

45510313532400 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 45510313532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83130858135000).

45510313532400 is an abundant number, since it is smaller than the sum of its proper divisors (120751402737600).

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

45510313532400 is a wasteful number, since it uses less digits than its factorization.

45510313532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64081 (or 64067 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 45510313532400 its reverse (423531301554), we get a palindrome (45933844833954).

The spelling of 45510313532400 in words is "forty-five trillion, five hundred ten billion, three hundred thirteen million, five hundred thirty-two thousand, four hundred".