146414214441 has 64 divisors (see below), whose sum is σ = 243855360000. Its totient is φ = 86052009600.

The previous prime is 146414214439. The next prime is 146414214449. The reversal of 146414214441 is 144412414641.

146414214441 is a `hidden beast` number, since 1 + 4 + 64 + 142 + 14 + 441 = 666.

It is not a de Polignac number, because 146414214441 - 2¹ = 146414214439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146414214396 and 146414214405.

It is not an unprimeable number, because it can be changed into a prime (146414214449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1997560 + ... + 2069558.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240000).

Almost surely, 2^146414214441 is an apocalyptic number.

146414214441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146414214441 is a deficient number, since it is larger than the sum of its proper divisors (97441145559).

146414214441 is a wasteful number, since it uses less digits than its factorization.

146414214441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72227 (or 72221 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 146414214441 in words is "one hundred forty-six billion, four hundred fourteen million, two hundred fourteen thousand, four hundred forty-one".