1745257323264 has 288 divisors, whose sum is σ = 5737102339584. Its totient is φ = 458655989760.

The previous prime is 1745257323253. The next prime is 1745257323269. The reversal of 1745257323264 is 4623237525471.

It is a super-2 number, since 2×1745257323264² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1745257323269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19734184 + ... + 19822424.

Almost surely, 2^{1745257323264} is an apocalyptic number.

1745257323264 is a gapful number since it is divisible by the number (14) 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 1745257323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868551169792).

1745257323264 is an abundant number, since it is smaller than the sum of its proper divisors (3991845016320).

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

1745257323264 is a wasteful number, since it uses less digits than its factorization.

1745257323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88563 (or 88549 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 51.

The spelling of 1745257323264 in words is "one trillion, seven hundred forty-five billion, two hundred fifty-seven million, three hundred twenty-three thousand, two hundred sixty-four".