45826060500 has 384 divisors, whose sum is σ = 162357511680. Its totient is φ = 11067840000.

The previous prime is 45826060481. The next prime is 45826060529. The reversal of 45826060500 is 506062854.

45826060500 is a `hidden beast` number, since 45 + 8 + 2 + 6 + 0 + 605 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62518134 + ... + 62518866.

It is an arithmetic number, because the mean of its divisors is an integer number (422806020).

Almost surely, 2^45826060500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45826060500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81178755840).

45826060500 is an abundant number, since it is smaller than the sum of its proper divisors (116531451180).

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

45826060500 is a wasteful number, since it uses less digits than its factorization.

45826060500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45826060500 in words is "forty-five billion, eight hundred twenty-six million, sixty thousand, five hundred".