45411222528 has 528 divisors, whose sum is σ = 162230874624. Its totient is φ = 11938037760.

The previous prime is 45411222499. The next prime is 45411222541. The reversal of 45411222528 is 82522211454.

45411222528 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 122 + 2 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45411222492 and 45411222501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51544648 + ... + 51545528.

Almost surely, 2^45411222528 is an apocalyptic number.

45411222528 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 45411222528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81115437312).

45411222528 is an abundant number, since it is smaller than the sum of its proper divisors (116819652096).

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

45411222528 is a wasteful number, since it uses less digits than its factorization.

45411222528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 957 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 45411222528 in words is "forty-five billion, four hundred eleven million, two hundred twenty-two thousand, five hundred twenty-eight".