383416434954 has 320 divisors, whose sum is σ = 1061174568960. Its totient is φ = 101024703360.

The previous prime is 383416434953. The next prime is 383416434977. The reversal of 383416434954 is 459434614383.

383416434954 is a `hidden beast` number, since 3 + 83 + 41 + 6 + 434 + 95 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 383416434954.

It is not an unprimeable number, because it can be changed into a prime (383416434953) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 390046747 + ... + 390047729.

It is an arithmetic number, because the mean of its divisors is an integer number (3316170528).

Almost surely, 2^383416434954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383416434954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530587284480).

383416434954 is an abundant number, since it is smaller than the sum of its proper divisors (677758134006).

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

383416434954 is a wasteful number, since it uses less digits than its factorization.

383416434954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1478 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 383416434954 in words is "three hundred eighty-three billion, four hundred sixteen million, four hundred thirty-four thousand, nine hundred fifty-four".