157769634438 has 256 divisors, whose sum is σ = 410557593600. Its totient is φ = 44534085120.

The previous prime is 157769634419. The next prime is 157769634439. The reversal of 157769634438 is 834436967751.

It is a happy number.

157769634438 is a `hidden beast` number, since 1 + 5 + 77 + 69 + 63 + 443 + 8 = 666.

157769634438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157769634439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32387143 + ... + 32392013.

It is an arithmetic number, because the mean of its divisors is an integer number (1603740600).

Almost surely, 2^157769634438 is an apocalyptic number.

157769634438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157769634438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205278796800).

157769634438 is an abundant number, since it is smaller than the sum of its proper divisors (252787959162).

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

157769634438 is a wasteful number, since it uses less digits than its factorization.

157769634438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4998 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 157769634438 in words is "one hundred fifty-seven billion, seven hundred sixty-nine million, six hundred thirty-four thousand, four hundred thirty-eight".