838149120000 has 1400 divisors, whose sum is σ = 3269819272896. Its totient is φ = 213663744000.

The previous prime is 838149119989. The next prime is 838149120007. The reversal of 838149120000 is 21941838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (838149120007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 17832959977 + ... + 17832960023.

Almost surely, 2^838149120000 is an apocalyptic number.

838149120000 is a gapful number since it is divisible by the number (80) 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 838149120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634909636448).

838149120000 is an abundant number, since it is smaller than the sum of its proper divisors (2431670152896).

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

838149120000 is an frugal number, since it uses more digits than its factorization.

838149120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 838149120000 in words is "eight hundred thirty-eight billion, one hundred forty-nine million, one hundred twenty thousand".