109139204638464 has 1152 divisors, whose sum is σ = 417958853050368. Its totient is φ = 24352915783680.

The previous prime is 109139204638463. The next prime is 109139204638523. The reversal of 109139204638464 is 464836402931901.

It is a super-2 number, since 2×109139204638464² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109139204638398 and 109139204638407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109139204638463) 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, 654138157 + ... + 654304979.

It is an arithmetic number, because the mean of its divisors is an integer number (362811504384).

Almost surely, 2^{109139204638464} is an apocalyptic number.

109139204638464 is a gapful number since it is divisible by the number (14) 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 109139204638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208979426525184).

109139204638464 is an abundant number, since it is smaller than the sum of its proper divisors (308819648411904).

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

109139204638464 is a wasteful number, since it uses less digits than its factorization.

109139204638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166933 (or 166919 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 109139204638464 in words is "one hundred nine trillion, one hundred thirty-nine billion, two hundred four million, six hundred thirty-eight thousand, four hundred sixty-four".