146976754819609 has 81 divisors (see below), whose sum is σ = 185868988990461. Its totient is φ = 116058734288640.

The previous prime is 146976754819589. The next prime is 146976754819663. The reversal of 146976754819609 is 906918457679641.

The square root of 146976754819609 is 12123397.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1327097088009 + 145649657731600 = 1151997^2 + 12068540^2 .

It is not a de Polignac number, because 146976754819609 - 2¹⁷ = 146976754688537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146976754819679) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29471975614 + ... + 29471980600.

Almost surely, 2^{146976754819609} is an apocalyptic number.

146976754819609 is the 12123397-th square number.

146976754819609 is the 6061699-th centered octagonal number.

It is an amenable number.

146976754819609 is a deficient number, since it is larger than the sum of its proper divisors (38892234170852).

146976754819609 is an frugal number, since it uses more digits than its factorization.

146976754819609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10056 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 82.

The spelling of 146976754819609 in words is "one hundred forty-six trillion, nine hundred seventy-six billion, seven hundred fifty-four million, eight hundred nineteen thousand, six hundred nine".