45500984256 has 448 divisors, whose sum is σ = 153766674432. Its totient is φ = 11555647488.

The previous prime is 45500984251. The next prime is 45500984267. The reversal of 45500984256 is 65248900554.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45500984251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55018915 + ... + 55019741.

It is an arithmetic number, because the mean of its divisors is an integer number (343229184).

Almost surely, 2^45500984256 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 45500984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76883337216).

45500984256 is an abundant number, since it is smaller than the sum of its proper divisors (108265690176).

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

45500984256 is a wasteful number, since it uses less digits than its factorization.

45500984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 45500984256 in words is "forty-five billion, five hundred million, nine hundred eighty-four thousand, two hundred fifty-six".