45026145360 has 240 divisors, whose sum is σ = 173462290560. Its totient is φ = 10253122560.

The previous prime is 45026145349. The next prime is 45026145361. The reversal of 45026145360 is 6354162054.

45026145360 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 614 + 5 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (45026145361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1339155 + ... + 1372365.

It is an arithmetic number, because the mean of its divisors is an integer number (722759544).

Almost surely, 2^45026145360 is an apocalyptic number.

45026145360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45026145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86731145280).

45026145360 is an abundant number, since it is smaller than the sum of its proper divisors (128436145200).

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

45026145360 is a wasteful number, since it uses less digits than its factorization.

45026145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33506 (or 33497 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45026145360 in words is "forty-five billion, twenty-six million, one hundred forty-five thousand, three hundred sixty".