13822494720 has 96 divisors (see below), whose sum is σ = 44221282560. Its totient is φ = 3685990400.

The previous prime is 13822494671. The next prime is 13822494727. The reversal of 13822494720 is 2749422831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13822494720² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13822494727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194256 + ... + 255695.

It is an arithmetic number, because the mean of its divisors is an integer number (460638360).

Almost surely, 2^13822494720 is an apocalyptic number.

13822494720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13822494720 is an abundant number, since it is smaller than the sum of its proper divisors (30398787840).

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

13822494720 is an equidigital number, since it uses as much as digits as its factorization.

13822494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449981 (or 449961 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13822494720 in words is "thirteen billion, eight hundred twenty-two million, four hundred ninety-four thousand, seven hundred twenty".