19749136000000 has 693 divisors, whose sum is σ = 54784495097143. Its totient is φ = 7110400000000.

The previous prime is 19749135999961. The next prime is 19749136000019. The reversal of 19749136000000 is 63194791.

The square root of 19749136000000 is 4444000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 19245558424576 + 503577575424 = 4386976^2 + 709632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 195535999950 + ... + 195536000050.

Almost surely, 2^{19749136000000} is an apocalyptic number.

19749136000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19749136000000 is the 4444000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19749136000000

19749136000000 is an abundant number, since it is smaller than the sum of its proper divisors (35035359097143).

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

19749136000000 is an frugal number, since it uses more digits than its factorization.

19749136000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

Adding to 19749136000000 its reverse (63194791), we get a palindrome (19749199194791).

The spelling of 19749136000000 in words is "nineteen trillion, seven hundred forty-nine billion, one hundred thirty-six million", and thus it is an aban number.