45288372480 has 288 divisors, whose sum is σ = 156096388224. Its totient is φ = 11124277248.

The previous prime is 45288372461. The next prime is 45288372509. The reversal of 45288372480 is 8427388254.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41283292 + ... + 41284388.

It is an arithmetic number, because the mean of its divisors is an integer number (542001348).

Almost surely, 2^45288372480 is an apocalyptic number.

45288372480 is a gapful number since it is divisible by the number (40) 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 45288372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78048194112).

45288372480 is an abundant number, since it is smaller than the sum of its proper divisors (110808015744).

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

45288372480 is a wasteful number, since it uses less digits than its factorization.

45288372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 45288372480 in words is "forty-five billion, two hundred eighty-eight million, three hundred seventy-two thousand, four hundred eighty".