5745414229632 has 640 divisors, whose sum is σ = 21395091991680. Its totient is φ = 1486870732800.

The previous prime is 5745414229631. The next prime is 5745414229637. The reversal of 5745414229632 is 2369224145475.

5745414229632 is a `hidden beast` number, since 5 + 7 + 4 + 541 + 4 + 2 + 2 + 96 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5745414229631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 221126082 + ... + 221152062.

It is an arithmetic number, because the mean of its divisors is an integer number (33429831237).

Almost surely, 2^{5745414229632} 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 5745414229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697545995840).

5745414229632 is an abundant number, since it is smaller than the sum of its proper divisors (15649677762048).

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

5745414229632 is a wasteful number, since it uses less digits than its factorization.

5745414229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26302 (or 26281 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 5745414229632 in words is "five trillion, seven hundred forty-five billion, four hundred fourteen million, two hundred twenty-nine thousand, six hundred thirty-two".