45010556864 has 168 divisors, whose sum is σ = 110965548960. Its totient is φ = 17736855552.

The previous prime is 45010556861. The next prime is 45010556867. The reversal of 45010556864 is 46865501054.

It is an interprime number because it is at equal distance from previous prime (45010556861) and next prime (45010556867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45010556861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22182602 + ... + 22184630.

It is an arithmetic number, because the mean of its divisors is an integer number (660509220).

Almost surely, 2^45010556864 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 45010556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55482774480).

45010556864 is an abundant number, since it is smaller than the sum of its proper divisors (65954992096).

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

45010556864 is a wasteful number, since it uses less digits than its factorization.

45010556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 45010556864 in words is "forty-five billion, ten million, five hundred fifty-six thousand, eight hundred sixty-four".