45408611016 has 128 divisors (see below), whose sum is σ = 128094364800. Its totient is φ = 15088550400.

The previous prime is 45408611011. The next prime is 45408611041. The reversal of 45408611016 is 61011680454.

45408611016 is a `hidden beast` number, since 4 + 540 + 8 + 6 + 1 + 101 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45408611011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5787256 + ... + 5795096.

It is an arithmetic number, because the mean of its divisors is an integer number (1000737225).

Almost surely, 2^45408611016 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 45408611016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64047182400).

45408611016 is an abundant number, since it is smaller than the sum of its proper divisors (82685753784).

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

45408611016 is an equidigital number, since it uses as much as digits as its factorization.

45408611016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 45408611016 in words is "forty-five billion, four hundred eight million, six hundred eleven thousand, sixteen".