838337799111120 has 960 divisors, whose sum is σ = 3695487490805760. Its totient is φ = 165004281446400.

The previous prime is 838337799111049. The next prime is 838337799111143. The reversal of 838337799111120 is 21111997733838.

838337799111120 is a `hidden beast` number, since 8 + 38 + 337 + 79 + 91 + 1 + 112 + 0 = 666.

It is a super-3 number, since 3×838337799111120³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6675079525 + ... + 6675205115.

It is an arithmetic number, because the mean of its divisors is an integer number (3849466136256).

Almost surely, 2^{838337799111120} is an apocalyptic number.

838337799111120 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 838337799111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847743745402880).

838337799111120 is an abundant number, since it is smaller than the sum of its proper divisors (2857149691694640).

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

838337799111120 is a wasteful number, since it uses less digits than its factorization.

838337799111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131984 (or 131975 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 838337799111120 in words is "eight hundred thirty-eight trillion, three hundred thirty-seven billion, seven hundred ninety-nine million, one hundred eleven thousand, one hundred twenty".