45924435148032 has 648 divisors, whose sum is σ = 159105830188032. Its totient is φ = 12689420083200.

The previous prime is 45924435147911. The next prime is 45924435148057. The reversal of 45924435148032 is 23084153442954.

45924435148032 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 4 + 43 + 514 + 80 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45924435148032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6569076057 + ... + 6569083047.

Almost surely, 2^{45924435148032} is an apocalyptic number.

45924435148032 is a gapful number since it is divisible by the number (42) 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 45924435148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552915094016).

45924435148032 is an abundant number, since it is smaller than the sum of its proper divisors (113181395040000).

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

45924435148032 is a wasteful number, since it uses less digits than its factorization.

45924435148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 45924435148032 in words is "forty-five trillion, nine hundred twenty-four billion, four hundred thirty-five million, one hundred forty-eight thousand, thirty-two".