19145577820356 has 567 divisors, whose sum is σ = 57074026117437. Its totient is φ = 5614026200640.

The previous prime is 19145577820267. The next prime is 19145577820361. The reversal of 19145577820356 is 65302877554191.

The square root of 19145577820356 is 4375566.

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

19145577820356 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 5 + 577 + 8 + 2 + 0 + 3 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2832186068100 + 16313391752256 = 1682910^2 + 4038984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19145577820293 and 19145577820302.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 70647888501 + ... + 70647888771.

It is a 2-persistent number, because it is pandigital, and so is 2⋅19145577820356 = 38291155640712, but 3⋅19145577820356 = 57436733461068 is not.

Almost surely, 2^{19145577820356} is an apocalyptic number.

19145577820356 is the 4375566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19145577820356

19145577820356 is an abundant number, since it is smaller than the sum of its proper divisors (37928448297081).

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

19145577820356 is an equidigital number, since it uses as much as digits as its factorization.

19145577820356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 19145577820356 in words is "nineteen trillion, one hundred forty-five billion, five hundred seventy-seven million, eight hundred twenty thousand, three hundred fifty-six".