306366401952 has 768 divisors, whose sum is σ = 1072506355200. Its totient is φ = 84164935680.

The previous prime is 306366401941. The next prime is 306366401983. The reversal of 306366401952 is 259104663603.

306366401952 is a `hidden beast` number, since 3 + 0 + 636 + 6 + 4 + 0 + 1 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 306366401898 and 306366401907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337779483 + ... + 337780389.

It is an arithmetic number, because the mean of its divisors is an integer number (1396492650).

Almost surely, 2^306366401952 is an apocalyptic number.

306366401952 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 306366401952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536253177600).

306366401952 is an abundant number, since it is smaller than the sum of its proper divisors (766139953248).

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

306366401952 is a wasteful number, since it uses less digits than its factorization.

306366401952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 306366401952 in words is "three hundred six billion, three hundred sixty-six million, four hundred one thousand, nine hundred fifty-two".