19135340364816 has 375 divisors, whose sum is σ = 60081896896571. Its totient is φ = 5879608166016.

The previous prime is 19135340364809. The next prime is 19135340364857. The reversal of 19135340364816 is 61846304353191.

The square root of 19135340364816 is 4374396.

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

19135340364816 is a `hidden beast` number, since 1 + 91 + 3 + 5 + 3 + 40 + 36 + 481 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9487607398416 + 9647732966400 = 3080196^2 + 3106080^2 .

It is a super-2 number, since 2×19135340364816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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 74 ways as a sum of consecutive naturals, for example, 26613824905 + ... + 26613825623.

Almost surely, 2^{19135340364816} is an apocalyptic number.

19135340364816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19135340364816 is the 4374396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19135340364816

19135340364816 is an abundant number, since it is smaller than the sum of its proper divisors (40946556531755).

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

19135340364816 is an frugal number, since it uses more digits than its factorization.

19135340364816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 19135340364816 in words is "nineteen trillion, one hundred thirty-five billion, three hundred forty million, three hundred sixty-four thousand, eight hundred sixteen".