75148901689 has 27 divisors (see below), whose sum is σ = 80141978511. Its totient is φ = 70463146320.

The previous prime is 75148901683. The next prime is 75148901699. The reversal of 75148901689 is 98610984157.

The square root of 75148901689 is 274133.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67244269225 + 7904632464 = 259315^2 + 88908^2 .

It is not a de Polignac number, because 75148901689 - 2⁷ = 75148901561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75148901683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314430432 + ... + 314430670.

Almost surely, 2^75148901689 is an apocalyptic number.

75148901689 is the 274133-rd square number.

75148901689 is the 137067-th centered octagonal number.

It is an amenable number.

75148901689 is a deficient number, since it is larger than the sum of its proper divisors (4993076822).

75148901689 is an frugal number, since it uses more digits than its factorization.

75148901689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 75148901689 in words is "seventy-five billion, one hundred forty-eight million, nine hundred one thousand, six hundred eighty-nine".