19456956288016 has 45 divisors (see below), whose sum is σ = 40821233086461. Its totient is φ = 8980027807296.

The previous prime is 19456956287987. The next prime is 19456956288043. The reversal of 19456956288016 is 61088265965491.

The square root of 19456956288016 is 4411004.

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

It can be written as a sum of positive squares in only one way, i.e., 2878247971600 + 16578708316416 = 1696540^2 + 4071696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 229329795 + ... + 229414621.

Almost surely, 2^{19456956288016} is an apocalyptic number.

19456956288016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19456956288016 is the 4411004-th square number.

It is an amenable number.

19456956288016 is an abundant number, since it is smaller than the sum of its proper divisors (21364276798445).

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

19456956288016 is an frugal number, since it uses more digits than its factorization.

19456956288016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169688 (or 84842 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 70.

The spelling of 19456956288016 in words is "nineteen trillion, four hundred fifty-six billion, nine hundred fifty-six million, two hundred eighty-eight thousand, sixteen".