306166136311552 has 216 divisors, whose sum is σ = 692357168764800. Its totient is φ = 134000180582400.

The previous prime is 306166136311531. The next prime is 306166136311559. The reversal of 306166136311552 is 255113631661603.

It is a junction number, because it is equal to n+sod(n) for n = 306166136311496 and 306166136311505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306166136311559) 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, 538244763 + ... + 538813285.

It is an arithmetic number, because the mean of its divisors is an integer number (3205357262800).

Almost surely, 2^{306166136311552} is an apocalyptic number.

306166136311552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306166136311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346178584382400).

306166136311552 is an abundant number, since it is smaller than the sum of its proper divisors (386191032453248).

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

306166136311552 is a wasteful number, since it uses less digits than its factorization.

306166136311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568811 (or 568766 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 306166136311552 in words is "three hundred six trillion, one hundred sixty-six billion, one hundred thirty-six million, three hundred eleven thousand, five hundred fifty-two".