146363641646112 has 144 divisors (see below), whose sum is σ = 469717173132480. Its totient is φ = 42823218009600.

The previous prime is 146363641646039. The next prime is 146363641646119. The reversal of 146363641646112 is 211646146363641.

146363641646112 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 6 + 3 + 6 + 4 + 16 + 4 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146363641646112² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146363641646119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796470964 + ... + 796654707.

It is an arithmetic number, because the mean of its divisors is an integer number (3261924813420).

Almost surely, 2^{146363641646112} is an apocalyptic number.

146363641646112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146363641646112 is an abundant number, since it is smaller than the sum of its proper divisors (323353531486368).

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

146363641646112 is a wasteful number, since it uses less digits than its factorization.

146363641646112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593125727 (or 1593125716 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 146363641646112 in words is "one hundred forty-six trillion, three hundred sixty-three billion, six hundred forty-one million, six hundred forty-six thousand, one hundred twelve".