5645210433408 has 2304 divisors, whose sum is σ = 22176999936000. Its totient is φ = 1426553856000.

The previous prime is 5645210433403. The next prime is 5645210433449. The reversal of 5645210433408 is 8043340125465.

5645210433408 is a `hidden beast` number, since 5 + 64 + 52 + 104 + 33 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645210433403) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55893172558 + ... + 55893172658.

It is an arithmetic number, because the mean of its divisors is an integer number (9625434000).

Almost surely, 2^{5645210433408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5645210433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088499968000).

5645210433408 is an abundant number, since it is smaller than the sum of its proper divisors (16531789502592).

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

5645210433408 is a wasteful number, since it uses less digits than its factorization.

5645210433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5645210433408 in words is "five trillion, six hundred forty-five billion, two hundred ten million, four hundred thirty-three thousand, four hundred eight".