45349632000 has 576 divisors, whose sum is σ = 169747250400. Its totient is φ = 12093235200.

The previous prime is 45349631947. The next prime is 45349632019. The reversal of 45349632000 is 23694354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45349632000 is a `hidden beast` number, since 4 + 534 + 96 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 3.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9069926398 + ... + 9069926402.

Almost surely, 2^45349632000 is an apocalyptic number.

45349632000 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 45349632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84873625200).

45349632000 is an abundant number, since it is smaller than the sum of its proper divisors (124397618400).

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

45349632000 is an frugal number, since it uses more digits than its factorization.

45349632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

45349632000 divided by its sum of digits (36) gives a cube (1259712000 = 1080³).

The spelling of 45349632000 in words is "forty-five billion, three hundred forty-nine million, six hundred thirty-two thousand".