109952268738 has 64 divisors (see below), whose sum is σ = 252136789632. Its totient is φ = 31665392640.

The previous prime is 109952268737. The next prime is 109952268739. The reversal of 109952268738 is 837862259901.

It is an interprime number because it is at equal distance from previous prime (109952268737) and next prime (109952268739).

It is a super-2 number, since 2×109952268738² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109952268737) 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 31 ways as a sum of consecutive naturals, for example, 10945 + ... + 469067.

It is an arithmetic number, because the mean of its divisors is an integer number (3939637338).

Almost surely, 2^109952268738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109952268738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126068394816).

109952268738 is an abundant number, since it is smaller than the sum of its proper divisors (142184520894).

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

109952268738 is a wasteful number, since it uses less digits than its factorization.

109952268738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458339.

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 109952268738 in words is "one hundred nine billion, nine hundred fifty-two million, two hundred sixty-eight thousand, seven hundred thirty-eight".