146456444654641 has 36 divisors (see below), whose sum is σ = 162474214478940. Its totient is φ = 131918520025600.

The previous prime is 146456444654609. The next prime is 146456444654701.

146456444654641 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 9006121040400 + 137450323614241 = 3001020^2 + 11723921^2 .

It is not a de Polignac number, because 146456444654641 - 2⁵ = 146456444654609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146456444654041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4976588115 + ... + 4976617543.

It is an arithmetic number, because the mean of its divisors is an integer number (4513172624415).

Almost surely, 2^{146456444654641} is an apocalyptic number.

146456444654641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146456444654641 is a deficient number, since it is larger than the sum of its proper divisors (16017769824299).

146456444654641 is a wasteful number, since it uses less digits than its factorization.

146456444654641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32898 (or 32774 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 64.

The spelling of 146456444654641 in words is "one hundred forty-six trillion, four hundred fifty-six billion, four hundred forty-four million, six hundred fifty-four thousand, six hundred forty-one".