45385704000 has 896 divisors, whose sum is σ = 205030425600. Its totient is φ = 9571737600.

The previous prime is 45385703983. The next prime is 45385704037. The reversal of 45385704000 is 40758354.

45385704000 is a `hidden beast` number, since 45 + 3 + 8 + 570 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19654846 + ... + 19657154.

It is an arithmetic number, because the mean of its divisors is an integer number (228828600).

Almost surely, 2^45385704000 is an apocalyptic number.

45385704000 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 45385704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102515212800).

45385704000 is an abundant number, since it is smaller than the sum of its proper divisors (159644721600).

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

45385704000 is a wasteful number, since it uses less digits than its factorization.

45385704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45385704000 in words is "forty-five billion, three hundred eighty-five million, seven hundred four thousand".