45200453760 has 1536 divisors, whose sum is σ = 212987750400. Its totient is φ = 8941363200.

The previous prime is 45200453759. The next prime is 45200453777. The reversal of 45200453760 is 6735400254.

45200453760 is a `hidden beast` number, since 4 + 520 + 0 + 45 + 37 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214220055 + ... + 214220265.

It is an arithmetic number, because the mean of its divisors is an integer number (138663900).

Almost surely, 2^45200453760 is an apocalyptic number.

45200453760 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 45200453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106493875200).

45200453760 is an abundant number, since it is smaller than the sum of its proper divisors (167787296640).

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

45200453760 is a wasteful number, since it uses less digits than its factorization.

45200453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 45200453760 in words is "forty-five billion, two hundred million, four hundred fifty-three thousand, seven hundred sixty".