45935009280 has 480 divisors, whose sum is σ = 169095614688. Its totient is φ = 11943936000.

The previous prime is 45935009249. The next prime is 45935009353. The reversal of 45935009280 is 8290053954.

45935009280 is a `hidden beast` number, since 4 + 59 + 3 + 500 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×45935009280² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25504380 + ... + 25506180.

Almost surely, 2^45935009280 is an apocalyptic number.

45935009280 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 45935009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84547807344).

45935009280 is an abundant number, since it is smaller than the sum of its proper divisors (123160605408).

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

45935009280 is an equidigital number, since it uses as much as digits as its factorization.

45935009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45935009280 in words is "forty-five billion, nine hundred thirty-five million, nine thousand, two hundred eighty".