45105345351000 has 384 divisors, whose sum is σ = 169042219444800. Its totient is φ = 10755371520000.

The previous prime is 45105345350959. The next prime is 45105345351091. The reversal of 45105345351000 is 15354350154.

45105345351000 is a `hidden beast` number, since 4 + 5 + 10 + 5 + 3 + 4 + 535 + 100 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2304496 + ... + 9773504.

Almost surely, 2^{45105345351000} is an apocalyptic number.

45105345351000 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 45105345351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84521109722400).

45105345351000 is an abundant number, since it is smaller than the sum of its proper divisors (123936874093800).

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

45105345351000 is a wasteful number, since it uses less digits than its factorization.

45105345351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469108 (or 7469091 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 45105345351000 in words is "forty-five trillion, one hundred five billion, three hundred forty-five million, three hundred fifty-one thousand".