438706325123136 has 5376 divisors, whose sum is σ = 1782010248560640. Its totient is φ = 104528550297600.

The previous prime is 438706325123107. The next prime is 438706325123179. The reversal of 438706325123136 is 631321523607834.

438706325123136 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 0 + 63 + 2 + 512 + 31 + 36 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8277477832486 + ... + 8277477832538.

It is an arithmetic number, because the mean of its divisors is an integer number (331475120640).

Almost surely, 2^{438706325123136} is an apocalyptic number.

438706325123136 is a gapful number since it is divisible by the number (46) 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 438706325123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891005124280320).

438706325123136 is an abundant number, since it is smaller than the sum of its proper divisors (1343303923437504).

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

438706325123136 is a wasteful number, since it uses less digits than its factorization.

438706325123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 438706325123136 in words is "four hundred thirty-eight trillion, seven hundred six billion, three hundred twenty-five million, one hundred twenty-three thousand, one hundred thirty-six".