45482904000 has 896 divisors, whose sum is σ = 177166828800. Its totient is φ = 11405721600.

The previous prime is 45482903993. The next prime is 45482904091. The reversal of 45482904000 is 40928454.

45482904000 is a `hidden beast` number, since 454 + 82 + 90 + 40 + 0 + 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 331991932 + ... + 331992068.

Almost surely, 2^45482904000 is an apocalyptic number.

45482904000 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 45482904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583414400).

45482904000 is an abundant number, since it is smaller than the sum of its proper divisors (131683924800).

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

45482904000 is a wasteful number, since it uses less digits than its factorization.

45482904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45482904000 in words is "forty-five billion, four hundred eighty-two million, nine hundred four thousand".