45532569600 has 504 divisors, whose sum is σ = 186450335760. Its totient is φ = 10404495360.

The previous prime is 45532569559. The next prime is 45532569653. The reversal of 45532569600 is 696523554.

45532569600 is a `hidden beast` number, since 4 + 5 + 5 + 32 + 5 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 35 ways as a sum of consecutive naturals, for example, 12900636 + ... + 12904164.

Almost surely, 2^45532569600 is an apocalyptic number.

45532569600 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 45532569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93225167880).

45532569600 is an abundant number, since it is smaller than the sum of its proper divisors (140917766160).

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

45532569600 is a wasteful number, since it uses less digits than its factorization.

45532569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 45532569600 in words is "forty-five billion, five hundred thirty-two million, five hundred sixty-nine thousand, six hundred".