109367781264 has 405 divisors, whose sum is σ = 370825470171. Its totient is φ = 30001829760.

The previous prime is 109367781221. The next prime is 109367781269. The reversal of 109367781264 is 462187763901.

The square root of 109367781264 is 330708.

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

109367781264 is a `hidden beast` number, since 10 + 9 + 367 + 7 + 8 + 1 + 264 = 666.

It is a super-2 number, since 2×109367781264² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109367781264.

It is not an unprimeable number, because it can be changed into a prime (109367781269) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 861163569 + ... + 861163695.

Almost surely, 2^109367781264 is an apocalyptic number.

109367781264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

109367781264 is the 330708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109367781264

109367781264 is an abundant number, since it is smaller than the sum of its proper divisors (261457688907).

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

109367781264 is a wasteful number, since it uses less digits than its factorization.

109367781264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 109367781264 in words is "one hundred nine billion, three hundred sixty-seven million, seven hundred eighty-one thousand, two hundred sixty-four".