838534131900 has 288 divisors, whose sum is σ = 2741935616000. Its totient is φ = 219801703680.

The previous prime is 838534131893. The next prime is 838534131913. The reversal of 838534131900 is 9131435838.

838534131900 is a `hidden beast` number, since 83 + 8 + 534 + 1 + 31 + 9 + 0 + 0 = 666.

838534131900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×838534131900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48837117 + ... + 48854283.

Almost surely, 2^838534131900 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 838534131900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370967808000).

838534131900 is an abundant number, since it is smaller than the sum of its proper divisors (1903401484100).

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

838534131900 is a wasteful number, since it uses less digits than its factorization.

838534131900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17498 (or 17485 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 838534131900 in words is "eight hundred thirty-eight billion, five hundred thirty-four million, one hundred thirty-one thousand, nine hundred".