45723282865920 has 2304 divisors, whose sum is σ = 186559104614400. Its totient is φ = 10506682368000.

The previous prime is 45723282865903. The next prime is 45723282865937. The reversal of 45723282865920 is 2956828232754.

45723282865920 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 32 + 8 + 2 + 8 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45723282865903) and next prime (45723282865937).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87425014779 + ... + 87425015301.

It is an arithmetic number, because the mean of its divisors is an integer number (80971833600).

Almost surely, 2^{45723282865920} is an apocalyptic number.

45723282865920 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 45723282865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93279552307200).

45723282865920 is an abundant number, since it is smaller than the sum of its proper divisors (140835821748480).

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

45723282865920 is a wasteful number, since it uses less digits than its factorization.

45723282865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 45723282865920 in words is "forty-five trillion, seven hundred twenty-three billion, two hundred eighty-two million, eight hundred sixty-five thousand, nine hundred twenty".