45211083456 has 224 divisors, whose sum is σ = 149604618240. Its totient is φ = 11706393600.

The previous prime is 45211083451. The next prime is 45211083479. The reversal of 45211083456 is 65438011254.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (45211083451) 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, 4888885 + ... + 4898123.

It is an arithmetic number, because the mean of its divisors is an integer number (667877760).

Almost surely, 2^45211083456 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 45211083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74802309120).

45211083456 is an abundant number, since it is smaller than the sum of its proper divisors (104393534784).

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

45211083456 is a wasteful number, since it uses less digits than its factorization.

45211083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9603 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 45211083456 in words is "forty-five billion, two hundred eleven million, eighty-three thousand, four hundred fifty-six".