45456439533120 has 2240 divisors, whose sum is σ = 207938317086720. Its totient is φ = 9152936755200.

The previous prime is 45456439533101. The next prime is 45456439533139. The reversal of 45456439533120 is 2133593465454.

45456439533120 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 64 + 39 + 533 + 12 + 0 = 666.

45456439533120 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45456439533101) and next prime (45456439533139).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8360571042 + ... + 8360576478.

Almost surely, 2^{45456439533120} is an apocalyptic number.

45456439533120 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 45456439533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103969158543360).

45456439533120 is an abundant number, since it is smaller than the sum of its proper divisors (162481877553600).

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

45456439533120 is a wasteful number, since it uses less digits than its factorization.

45456439533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 45456439533120 in words is "forty-five trillion, four hundred fifty-six billion, four hundred thirty-nine million, five hundred thirty-three thousand, one hundred twenty".