13904590800996 has 243 divisors, whose sum is σ = 41796670819449. Its totient is φ = 3886155495936.

The previous prime is 13904590800931. The next prime is 13904590801027. The reversal of 13904590800996 is 69900809540931.

The square root of 13904590800996 is 3728886.

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

13904590800996 is a `hidden beast` number, since 1 + 3 + 90 + 459 + 0 + 8 + 0 + 0 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6697298871396 + 7207291929600 = 2587914^2 + 2684640^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7360820020 + ... + 7360821908.

Almost surely, 2^{13904590800996} is an apocalyptic number.

13904590800996 is the 3728886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13904590800996

13904590800996 is an abundant number, since it is smaller than the sum of its proper divisors (27892080018453).

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

13904590800996 is an equidigital number, since it uses as much as digits as its factorization.

13904590800996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 13904590800996 in words is "thirteen trillion, nine hundred four billion, five hundred ninety million, eight hundred thousand, nine hundred ninety-six".