306400658144 has 288 divisors, whose sum is σ = 749283696000. Its totient is φ = 122752573440.

The previous prime is 306400658101. The next prime is 306400658147. The reversal of 306400658144 is 441856004603.

It is a happy number.

It is a super-2 number, since 2×306400658144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306400658147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277787897 + ... + 277788999.

It is an arithmetic number, because the mean of its divisors is an integer number (2601679500).

Almost surely, 2^306400658144 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 306400658144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374641848000).

306400658144 is an abundant number, since it is smaller than the sum of its proper divisors (442883037856).

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

306400658144 is a wasteful number, since it uses less digits than its factorization.

306400658144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 306400658144 in words is "three hundred six billion, four hundred million, six hundred fifty-eight thousand, one hundred forty-four".