45261362016 has 288 divisors, whose sum is σ = 143712092160. Its totient is φ = 13418265600.

The previous prime is 45261361987. The next prime is 45261362017. The reversal of 45261362016 is 61026316254.

45261362016 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 13 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45261362017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31452625 + ... + 31454063.

It is an arithmetic number, because the mean of its divisors is an integer number (499000320).

Almost surely, 2^45261362016 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 45261362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71856046080).

45261362016 is an abundant number, since it is smaller than the sum of its proper divisors (98450730144).

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

45261362016 is a wasteful number, since it uses less digits than its factorization.

45261362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 45261362016 in words is "forty-five billion, two hundred sixty-one million, three hundred sixty-two thousand, sixteen".