45325042045920 has 1440 divisors, whose sum is σ = 201434349650688. Its totient is φ = 9513201696768.

The previous prime is 45325042045897. The next prime is 45325042045939. The reversal of 45325042045920 is 2954024052354.

45325042045920 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 50 + 4 + 2 + 0 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1593301137 + ... + 1593329583.

Almost surely, 2^{45325042045920} is an apocalyptic number.

45325042045920 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 45325042045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717174825344).

45325042045920 is an abundant number, since it is smaller than the sum of its proper divisors (156109307604768).

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

45325042045920 is a wasteful number, since it uses less digits than its factorization.

45325042045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28694 (or 28670 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45325042045920 in words is "forty-five trillion, three hundred twenty-five billion, forty-two million, forty-five thousand, nine hundred twenty".