45315170258400 has 1440 divisors, whose sum is σ = 193991481750528. Its totient is φ = 10078367846400.

The previous prime is 45315170258399. The next prime is 45315170258597. The reversal of 45315170258400 is 485207151354.

45315170258400 is a `hidden beast` number, since 4 + 5 + 3 + 151 + 70 + 25 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5285796514 + ... + 5285805086.

Almost surely, 2^{45315170258400} is an apocalyptic number.

45315170258400 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 45315170258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96995740875264).

45315170258400 is an abundant number, since it is smaller than the sum of its proper divisors (148676311492128).

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

45315170258400 is a wasteful number, since it uses less digits than its factorization.

45315170258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8926 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 45315170258400 in words is "forty-five trillion, three hundred fifteen billion, one hundred seventy million, two hundred fifty-eight thousand, four hundred".