146381994801 has 45 divisors (see below), whose sum is σ = 254412418491. Its totient is φ = 83633080608.

The previous prime is 146381994799. The next prime is 146381994839. The reversal of 146381994801 is 108499183641.

The square root of 146381994801 is 382599.

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

146381994801 is a `hidden beast` number, since 1 + 46 + 38 + 1 + 99 + 480 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132827447025 + 13554547776 = 364455^2 + 116424^2 .

It is not a de Polignac number, because 146381994801 - 2¹ = 146381994799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146381994841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24100701 + ... + 24106773.

Almost surely, 2^146381994801 is an apocalyptic number.

146381994801 is the 382599-th square number.

146381994801 is the 191300-th centered octagonal number.

It is an amenable number.

146381994801 is a deficient number, since it is larger than the sum of its proper divisors (108030423690).

146381994801 is an frugal number, since it uses more digits than its factorization.

146381994801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 146381994801 in words is "one hundred forty-six billion, three hundred eighty-one million, nine hundred ninety-four thousand, eight hundred one".