45088956288 has 128 divisors (see below), whose sum is σ = 133171812000. Its totient is φ = 15018725376.

The previous prime is 45088956251. The next prime is 45088956331. The reversal of 45088956288 is 88265988054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5764156 + ... + 5771972.

Almost surely, 2^45088956288 is an apocalyptic number.

45088956288 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 45088956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66585906000).

45088956288 is an abundant number, since it is smaller than the sum of its proper divisors (88082855712).

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

45088956288 is a wasteful number, since it uses less digits than its factorization.

45088956288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 45088956288 in words is "forty-five billion, eighty-eight million, nine hundred fifty-six thousand, two hundred eighty-eight".