109495377264 has 480 divisors, whose sum is σ = 367943116800. Its totient is φ = 27782092800.

The previous prime is 109495377263. The next prime is 109495377293. The reversal of 109495377264 is 462773594901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109495377263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313740162 + ... + 313740510.

It is an arithmetic number, because the mean of its divisors is an integer number (766548160).

Almost surely, 2^109495377264 is an apocalyptic number.

109495377264 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 109495377264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183971558400).

109495377264 is an abundant number, since it is smaller than the sum of its proper divisors (258447739536).

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

109495377264 is a wasteful number, since it uses less digits than its factorization.

109495377264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 109495377264 in words is "one hundred nine billion, four hundred ninety-five million, three hundred seventy-seven thousand, two hundred sixty-four".