838464457356 has 144 divisors (see below), whose sum is σ = 2252288656800. Its totient is φ = 262092619776.

The previous prime is 838464457343. The next prime is 838464457417. The reversal of 838464457356 is 653754464838.

It is a happy number.

838464457356 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 6 + 4 + 4 + 573 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 838464457293 and 838464457302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251865100 + ... + 251868428.

It is an arithmetic number, because the mean of its divisors is an integer number (15640893450).

Almost surely, 2^838464457356 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 838464457356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126144328400).

838464457356 is an abundant number, since it is smaller than the sum of its proper divisors (1413824199444).

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

838464457356 is a wasteful number, since it uses less digits than its factorization.

838464457356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4723 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 838464457356 in words is "eight hundred thirty-eight billion, four hundred sixty-four million, four hundred fifty-seven thousand, three hundred fifty-six".