45289601280 has 1728 divisors, whose sum is σ = 212562395136. Its totient is φ = 8957952000.

The previous prime is 45289601267. The next prime is 45289601293. The reversal of 45289601280 is 8210698254.

It is an interprime number because it is at equal distance from previous prime (45289601267) and next prime (45289601293).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×45289601280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742452450 + ... + 742452510.

Almost surely, 2^45289601280 is an apocalyptic number.

45289601280 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 45289601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106281197568).

45289601280 is an abundant number, since it is smaller than the sum of its proper divisors (167272793856).

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

45289601280 is a wasteful number, since it uses less digits than its factorization.

45289601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 45289601280 in words is "forty-five billion, two hundred eighty-nine million, six hundred one thousand, two hundred eighty".