109831262464 has 243 divisors, whose sum is σ = 281364577221. Its totient is φ = 42632325120.

The previous prime is 109831262461. The next prime is 109831262473. The reversal of 109831262464 is 464262138901.

The square root of 109831262464 is 331408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7226360064 + 102604902400 = 85008^2 + 320320^2 .

It is not an unprimeable number, because it can be changed into a prime (109831262461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408294522 + ... + 408294790.

Almost surely, 2^109831262464 is an apocalyptic number.

109831262464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

109831262464 is the 331408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109831262464

109831262464 is an abundant number, since it is smaller than the sum of its proper divisors (171533314757).

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

109831262464 is an frugal number, since it uses more digits than its factorization.

109831262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 109831262464 in words is "one hundred nine billion, eight hundred thirty-one million, two hundred sixty-two thousand, four hundred sixty-four".