45202000536 has 256 divisors, whose sum is σ = 165753216000. Its totient is φ = 11050076160.

The previous prime is 45202000531. The next prime is 45202000541. The reversal of 45202000536 is 63500020254.

45202000536 is a `hidden beast` number, since 452 + 0 + 200 + 0 + 5 + 3 + 6 = 666.

45202000536 is digitally balanced in base 2, 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 (45202000531) and next prime (45202000541).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45202000531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202810 + ... + 362678.

It is an arithmetic number, because the mean of its divisors is an integer number (647473500).

Almost surely, 2^45202000536 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 45202000536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82876608000).

45202000536 is an abundant number, since it is smaller than the sum of its proper divisors (120551215464).

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

45202000536 is a wasteful number, since it uses less digits than its factorization.

45202000536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159919 (or 159909 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

It can be divided in two parts, 4520 and 2000536, that added together give a square (2005056 = 1416²).

The spelling of 45202000536 in words is "forty-five billion, two hundred two million, five hundred thirty-six", and thus it is an aban number.