46825233646368 has 96 divisors (see below), whose sum is σ = 127589371257600. Its totient is φ = 15025885839360.

The previous prime is 46825233646363. The next prime is 46825233646381. The reversal of 46825233646368 is 86364633252864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 46825233646299 and 46825233646308.

It is not an unprimeable number, because it can be changed into a prime (46825233646363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84789793 + ... + 85340256.

It is an arithmetic number, because the mean of its divisors is an integer number (1329055950600).

Almost surely, 2^{46825233646368} is an apocalyptic number.

46825233646368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46825233646368 is an abundant number, since it is smaller than the sum of its proper divisors (80764137611232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46825233646368 is a wasteful number, since it uses less digits than its factorization.

46825233646368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170130170 (or 170130162 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 66.

The spelling of 46825233646368 in words is "forty-six trillion, eight hundred twenty-five billion, two hundred thirty-three million, six hundred forty-six thousand, three hundred sixty-eight".