45471404160 has 1728 divisors, whose sum is σ = 216274869720. Its totient is φ = 9029615616.

The previous prime is 45471404093. The next prime is 45471404171. The reversal of 45471404160 is 6140417454.

It is a happy number.

45471404160 is a `hidden beast` number, since 4 + 547 + 14 + 0 + 41 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34587072576 + 10884331584 = 185976^2 + 104328^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 215 ways as a sum of consecutive naturals, for example, 2674788472 + ... + 2674788488.

Almost surely, 2^45471404160 is an apocalyptic number.

45471404160 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 45471404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108137434860).

45471404160 is an abundant number, since it is smaller than the sum of its proper divisors (170803465560).

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

45471404160 is an equidigital number, since it uses as much as digits as its factorization.

45471404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 45471404160 in words is "forty-five billion, four hundred seventy-one million, four hundred four thousand, one hundred sixty".