109472694926400 has 1701 divisors, whose sum is σ = 445929573639069. Its totient is φ = 25456535470080.

The previous prime is 109472694926341. The next prime is 109472694926411. The reversal of 109472694926400 is 4629496274901.

The square root of 109472694926400 is 10462920.

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

109472694926400 is a `hidden beast` number, since 1 + 0 + 9 + 47 + 2 + 69 + 492 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 106741793254464 + 2730901671936 = 10331592^2 + 1652544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 310120948624 + ... + 310120948976.

Almost surely, 2^{109472694926400} is an apocalyptic number.

109472694926400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109472694926400 is the 10462920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109472694926400

109472694926400 is an abundant number, since it is smaller than the sum of its proper divisors (336456878712669).

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

109472694926400 is a wasteful number, since it uses less digits than its factorization.

109472694926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 109472694926400 in words is "one hundred nine trillion, four hundred seventy-two billion, six hundred ninety-four million, nine hundred twenty-six thousand, four hundred".