45270374016 has 384 divisors, whose sum is σ = 148466304000. Its totient is φ = 12152125440.

The previous prime is 45270374003. The next prime is 45270374021. The reversal of 45270374016 is 61047307254.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49692601 + ... + 49693511.

It is an arithmetic number, because the mean of its divisors is an integer number (386631000).

Almost surely, 2^45270374016 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 45270374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74233152000).

45270374016 is an abundant number, since it is smaller than the sum of its proper divisors (103195929984).

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

45270374016 is a wasteful number, since it uses less digits than its factorization.

45270374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 45270374016 in words is "forty-five billion, two hundred seventy million, three hundred seventy-four thousand, sixteen".