146404951641 has 27 divisors (see below), whose sum is σ = 229015703007. Its totient is φ = 90086171760.

The previous prime is 146404951613. The next prime is 146404951669. The reversal of 146404951641 is 146159404641.

The square root of 146404951641 is 382629.

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

146404951641 is a `hidden beast` number, since 14 + 6 + 40 + 49 + 516 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (146404951613) and next prime (146404951669).

It can be written as a sum of positive squares in only one way, i.e., 21657537225 + 124747414416 = 147165^2 + 353196^2 .

It is not a de Polignac number, because 146404951641 - 2¹⁵ = 146404918873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146404951691) 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, 14917626 + ... + 14927436.

Almost surely, 2^146404951641 is an apocalyptic number.

146404951641 is the 382629-th square number.

146404951641 is the 191315-th centered octagonal number.

It is an amenable number.

146404951641 is a deficient number, since it is larger than the sum of its proper divisors (82610751366).

146404951641 is an frugal number, since it uses more digits than its factorization.

146404951641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19654 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 146404951641 in words is "one hundred forty-six billion, four hundred four million, nine hundred fifty-one thousand, six hundred forty-one".