45474880809600 has 2304 divisors, whose sum is σ = 195245147260800. Its totient is φ = 10329115852800.

The previous prime is 45474880809577. The next prime is 45474880809629. The reversal of 45474880809600 is 690808847454.

45474880809600 is a `hidden beast` number, since 4 + 5 + 474 + 8 + 80 + 80 + 9 + 6 + 0 + 0 = 666.

45474880809600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40278901836 + ... + 40278902964.

Almost surely, 2^{45474880809600} is an apocalyptic number.

45474880809600 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 45474880809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97622573630400).

45474880809600 is an abundant number, since it is smaller than the sum of its proper divisors (149770266451200).

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

45474880809600 is a wasteful number, since it uses less digits than its factorization.

45474880809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 45474880809600 in words is "forty-five trillion, four hundred seventy-four billion, eight hundred eighty million, eight hundred nine thousand, six hundred".