45256032000 has 864 divisors, whose sum is σ = 173900772864. Its totient is φ = 11280384000.

The previous prime is 45256031927. The next prime is 45256032013. The reversal of 45256032000 is 23065254.

45256032000 is a `hidden beast` number, since 4 + 52 + 5 + 603 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330335932 + ... + 330336068.

Almost surely, 2^45256032000 is an apocalyptic number.

45256032000 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 45256032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86950386432).

45256032000 is an abundant number, since it is smaller than the sum of its proper divisors (128644740864).

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

45256032000 is a wasteful number, since it uses less digits than its factorization.

45256032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 45256032000 its reverse (23065254), we get a palindrome (45279097254).

The spelling of 45256032000 in words is "forty-five billion, two hundred fifty-six million, thirty-two thousand".