45345028869504 has 768 divisors, whose sum is σ = 169120475596800. Its totient is φ = 11324941516800.

The previous prime is 45345028869461. The next prime is 45345028869509. The reversal of 45345028869504 is 40596882054354.

45345028869504 is a `hidden beast` number, since 4 + 5 + 3 + 45 + 0 + 2 + 8 + 86 + 9 + 504 = 666.

It is a super-2 number, since 2×45345028869504² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45345028869509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8889436554 + ... + 8889441654.

It is an arithmetic number, because the mean of its divisors is an integer number (220208952600).

Almost surely, 2^{45345028869504} 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 45345028869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84560237798400).

45345028869504 is an abundant number, since it is smaller than the sum of its proper divisors (123775446727296).

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

45345028869504 is a wasteful number, since it uses less digits than its factorization.

45345028869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 45345028869504 in words is "forty-five trillion, three hundred forty-five billion, twenty-eight million, eight hundred sixty-nine thousand, five hundred four".