45409351680 has 1344 divisors, whose sum is σ = 206246476800. Its totient is φ = 9316270080.

The previous prime is 45409351657. The next prime is 45409351699. The reversal of 45409351680 is 8615390454.

45409351680 is a `hidden beast` number, since 4 + 5 + 40 + 93 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 111 ways as a sum of consecutive naturals, for example, 574801881 + ... + 574801959.

It is an arithmetic number, because the mean of its divisors is an integer number (153457200).

Almost surely, 2^45409351680 is an apocalyptic number.

45409351680 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 45409351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103123238400).

45409351680 is an abundant number, since it is smaller than the sum of its proper divisors (160837125120).

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

45409351680 is an equidigital number, since it uses as much as digits as its factorization.

45409351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45409351680 in words is "forty-five billion, four hundred nine million, three hundred fifty-one thousand, six hundred eighty".