306113414352144 has 160 divisors (see below), whose sum is σ = 933017756565504. Its totient is φ = 84630519083520.

The previous prime is 306113414352127. The next prime is 306113414352157. The reversal of 306113414352144 is 441253414311603.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 306113414352096 and 306113414352105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95214657 + ... + 98377119.

Almost surely, 2^{306113414352144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306113414352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466508878282752).

306113414352144 is an abundant number, since it is smaller than the sum of its proper divisors (626904342213360).

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

306113414352144 is a wasteful number, since it uses less digits than its factorization.

306113414352144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171805 (or 3171799 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 306113414352144 its reverse (441253414311603), we get a palindrome (747366828663747).

The spelling of 306113414352144 in words is "three hundred six trillion, one hundred thirteen billion, four hundred fourteen million, three hundred fifty-two thousand, one hundred forty-four".