45440156448 has 144 divisors (see below), whose sum is σ = 135096002496. Its totient is φ = 14460526080.

The previous prime is 45440156441. The next prime is 45440156467. The reversal of 45440156448 is 84465104454.

45440156448 is a `hidden beast` number, since 4 + 5 + 4 + 40 + 1 + 564 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (45440156441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3617058 + ... + 3629598.

It is an arithmetic number, because the mean of its divisors is an integer number (938166684).

Almost surely, 2^45440156448 is an apocalyptic number.

45440156448 is a gapful number since it is divisible by the number (48) 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 45440156448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67548001248).

45440156448 is an abundant number, since it is smaller than the sum of its proper divisors (89655846048).

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

45440156448 is a wasteful number, since it uses less digits than its factorization.

45440156448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13127 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 45440156448 in words is "forty-five billion, four hundred forty million, one hundred fifty-six thousand, four hundred forty-eight".