45209029824 has 224 divisors, whose sum is σ = 155599180800. Its totient is φ = 12601681920.

The previous prime is 45209029807. The next prime is 45209029871. The reversal of 45209029824 is 42892090254.

45209029824 is a `hidden beast` number, since 452 + 0 + 90 + 2 + 98 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 45209029824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450357 + ... + 541515.

It is an arithmetic number, because the mean of its divisors is an integer number (694639200).

Almost surely, 2^45209029824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45209029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77799590400).

45209029824 is an abundant number, since it is smaller than the sum of its proper divisors (110390150976).

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

45209029824 is a wasteful number, since it uses less digits than its factorization.

45209029824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91228 (or 91212 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45209029824 in words is "forty-five billion, two hundred nine million, twenty-nine thousand, eight hundred twenty-four".