13474111904100 has 243 divisors, whose sum is σ = 43651244794521. Its totient is φ = 3476309198400.

The previous prime is 13474111904083. The next prime is 13474111904159. The reversal of 13474111904100 is 140911147431.

It is a happy number.

The square root of 13474111904100 is 3670710.

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

13474111904100 is a `hidden beast` number, since 1 + 3 + 47 + 4 + 11 + 190 + 410 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4850680285476 + 8623431618624 = 2202426^2 + 2936568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3413758327 + ... + 3413762273.

Almost surely, 2^{13474111904100} is an apocalyptic number.

13474111904100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13474111904100 is the 3670710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13474111904100

13474111904100 is an abundant number, since it is smaller than the sum of its proper divisors (30177132890421).

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

13474111904100 is an equidigital number, since it uses as much as digits as its factorization.

13474111904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 13474111904100 by its sum of digits (36), we get a square (485068028547600 = 22024260²).

13474111904100 divided by its sum of digits (36) gives a square (374280886225 = 611785²).

The spelling of 13474111904100 in words is "thirteen trillion, four hundred seventy-four billion, one hundred eleven million, nine hundred four thousand, one hundred".