45869249036016 has 360 divisors, whose sum is σ = 154880699500800. Its totient is φ = 13103686866816.

The previous prime is 45869249036011. The next prime is 45869249036027. The reversal of 45869249036016 is 61063094296854.

45869249036016 is a `hidden beast` number, since 4 + 5 + 86 + 9 + 2 + 490 + 3 + 60 + 1 + 6 = 666.

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 (45869249036011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2020749435 + ... + 2020772133.

It is an arithmetic number, because the mean of its divisors is an integer number (430224165280).

Almost surely, 2^{45869249036016} 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 45869249036016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77440349750400).

45869249036016 is an abundant number, since it is smaller than the sum of its proper divisors (109011450464784).

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

45869249036016 is a wasteful number, since it uses less digits than its factorization.

45869249036016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33343 (or 33318 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 45869249036016 in words is "forty-five trillion, eight hundred sixty-nine billion, two hundred forty-nine million, thirty-six thousand, sixteen".