109145658384 has 945 divisors, whose sum is σ = 406917922383. Its totient is φ = 28258699392.

The previous prime is 109145658329. The next prime is 109145658463. The reversal of 109145658384 is 483856541901.

It is a happy number.

The square root of 109145658384 is 330372.

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

109145658384 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 4 + 56 + 583 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109145658384.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4745463397 + ... + 4745463419.

Almost surely, 2^109145658384 is an apocalyptic number.

109145658384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

109145658384 is the 330372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109145658384

109145658384 is an abundant number, since it is smaller than the sum of its proper divisors (297772263999).

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

109145658384 is an equidigital number, since it uses as much as digits as its factorization.

109145658384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 109145658384 in words is "one hundred nine billion, one hundred forty-five million, six hundred fifty-eight thousand, three hundred eighty-four".