109923147264 has 320 divisors, whose sum is σ = 350798976000. Its totient is φ = 30552367104.

The previous prime is 109923147259. The next prime is 109923147281. The reversal of 109923147264 is 462741329901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19490557 + ... + 19496195.

It is an arithmetic number, because the mean of its divisors is an integer number (1096246800).

Almost surely, 2^109923147264 is an apocalyptic number.

109923147264 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 109923147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175399488000).

109923147264 is an abundant number, since it is smaller than the sum of its proper divisors (240875828736).

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

109923147264 is an frugal number, since it uses more digits than its factorization.

109923147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 109923147264 in words is "one hundred nine billion, nine hundred twenty-three million, one hundred forty-seven thousand, two hundred sixty-four".