39122648136 has 512 divisors, whose sum is σ = 136217088000. Its totient is φ = 10354832640.

The previous prime is 39122648111. The next prime is 39122648137. The reversal of 39122648136 is 63184622193.

39122648136 is a `hidden beast` number, since 391 + 226 + 4 + 8 + 1 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 39122648091 and 39122648100.

It is not an unprimeable number, because it can be changed into a prime (39122648137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47536221 + ... + 47537043.

It is an arithmetic number, because the mean of its divisors is an integer number (266049000).

Almost surely, 2^39122648136 is an apocalyptic number.

39122648136 is a gapful number since it is divisible by the number (36) 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 39122648136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108544000).

39122648136 is an abundant number, since it is smaller than the sum of its proper divisors (97094439864).

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

39122648136 is a wasteful number, since it uses less digits than its factorization.

39122648136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

It can be divided in two parts, 3912264 and 8136, that added together give a square (3920400 = 1980²).

The spelling of 39122648136 in words is "thirty-nine billion, one hundred twenty-two million, six hundred forty-eight thousand, one hundred thirty-six".