146294045302251 has 256 divisors, whose sum is σ = 260759413555200. Its totient is φ = 70626816000000.

The previous prime is 146294045302117. The next prime is 146294045302313. The reversal of 146294045302251 is 152203540492641.

It is a de Polignac number, because none of the positive numbers 2^k-146294045302251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146294045302251.

It is not an unprimeable number, because it can be changed into a prime (146294045302051) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 139460481175 + ... + 139460482223.

It is an arithmetic number, because the mean of its divisors is an integer number (1018591459200).

Almost surely, 2^{146294045302251} is an apocalyptic number.

146294045302251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146294045302251 is a deficient number, since it is larger than the sum of its proper divisors (114465368252949).

146294045302251 is a wasteful number, since it uses less digits than its factorization.

146294045302251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426.

The product of its (nonzero) digits is 2073600, while the sum is 48.

Adding to 146294045302251 its reverse (152203540492641), we get a palindrome (298497585794892).

The spelling of 146294045302251 in words is "one hundred forty-six trillion, two hundred ninety-four billion, forty-five million, three hundred two thousand, two hundred fifty-one".