309468154464 has 144 divisors (see below), whose sum is σ = 1007130039552. Its totient is φ = 88300041984.

The previous prime is 309468154441. The next prime is 309468154477. The reversal of 309468154464 is 464451864903.

309468154464 is a `hidden beast` number, since 3 + 0 + 94 + 6 + 8 + 1 + 544 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 309468154464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394587 + ... + 1601189.

It is an arithmetic number, because the mean of its divisors is an integer number (6993958608).

Almost surely, 2^309468154464 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 309468154464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503565019776).

309468154464 is an abundant number, since it is smaller than the sum of its proper divisors (697661885088).

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

309468154464 is a wasteful number, since it uses less digits than its factorization.

309468154464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207369 (or 207358 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 309468154464 in words is "three hundred nine billion, four hundred sixty-eight million, one hundred fifty-four thousand, four hundred sixty-four".