5745311435448 has 768 divisors, whose sum is σ = 18853993267200. Its totient is φ = 1624121487360.

The previous prime is 5745311435371. The next prime is 5745311435551. The reversal of 5745311435448 is 8445341135475.

5745311435448 is a `hidden beast` number, since 5 + 7 + 4 + 53 + 1 + 1 + 43 + 544 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5745311435394 and 5745311435403.

It is a congruent number.

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, 2138186761 + ... + 2138189447.

It is an arithmetic number, because the mean of its divisors is an integer number (24549470400).

Almost surely, 2^{5745311435448} 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 5745311435448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426996633600).

5745311435448 is an abundant number, since it is smaller than the sum of its proper divisors (13108681831752).

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

5745311435448 is a wasteful number, since it uses less digits than its factorization.

5745311435448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2858 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 5745311435448 in words is "five trillion, seven hundred forty-five billion, three hundred eleven million, four hundred thirty-five thousand, four hundred forty-eight".