45353520000 has 480 divisors, whose sum is σ = 169197308280. Its totient is φ = 12089088000.

The previous prime is 45353519977. The next prime is 45353520013. The reversal of 45353520000 is 2535354.

45353520000 is a `hidden beast` number, since 453 + 5 + 3 + 5 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19438834 + ... + 19441166.

Almost surely, 2^45353520000 is an apocalyptic number.

45353520000 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 45353520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84598654140).

45353520000 is an abundant number, since it is smaller than the sum of its proper divisors (123843788280).

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

45353520000 is an frugal number, since it uses more digits than its factorization.

45353520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 45353520000 in words is "forty-five billion, three hundred fifty-three million, five hundred twenty thousand".