109316967552 has 1152 divisors, whose sum is σ = 404724902400. Its totient is φ = 29023764480.

The previous prime is 109316967511. The next prime is 109316967563. The reversal of 109316967552 is 255769613901.

109316967552 is a `hidden beast` number, since 10 + 9 + 3 + 16 + 9 + 67 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3526353777 + ... + 3526353807.

It is an arithmetic number, because the mean of its divisors is an integer number (351323700).

Almost surely, 2^109316967552 is an apocalyptic number.

109316967552 is a gapful number since it is divisible by the number (12) 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 109316967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202362451200).

109316967552 is an abundant number, since it is smaller than the sum of its proper divisors (295407934848).

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

109316967552 is an equidigital number, since it uses as much as digits as its factorization.

109316967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 109316967552 in words is "one hundred nine billion, three hundred sixteen million, nine hundred sixty-seven thousand, five hundred fifty-two".