45535089600 has 2016 divisors, whose sum is σ = 226861908480. Its totient is φ = 8734003200.

The previous prime is 45535089599. The next prime is 45535089617. The reversal of 45535089600 is 698053554.

45535089600 is a `hidden beast` number, since 4 + 5 + 5 + 35 + 0 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3502699194 + ... + 3502699206.

Almost surely, 2^45535089600 is an apocalyptic number.

45535089600 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 45535089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430954240).

45535089600 is an abundant number, since it is smaller than the sum of its proper divisors (181326818880).

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

45535089600 is a wasteful number, since it uses less digits than its factorization.

45535089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 45535089600 in words is "forty-five billion, five hundred thirty-five million, eighty-nine thousand, six hundred".