19103464304001 has 675 divisors, whose sum is σ = 39619577833913. Its totient is φ = 9163891376640.

The previous prime is 19103464303943. The next prime is 19103464304009. The reversal of 19103464304001 is 10040346430191.

The square root of 19103464304001 is 4370751.

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

19103464304001 is a `hidden beast` number, since 1 + 9 + 1 + 0 + 3 + 4 + 643 + 0 + 4 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4786473215601 + 14316991088400 = 2187801^2 + 3783780^2 .

It is not a de Polignac number, because 19103464304001 - 2⁹ = 19103464303489 is a prime.

It is a super-2 number, since 2×19103464304001² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19103464304009) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 360442722691 + ... + 360442722743.

Almost surely, 2^{19103464304001} is an apocalyptic number.

19103464304001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19103464304001 is the 4370751-st square number.

19103464304001 is the 2185376-th centered octagonal number.

It is an amenable number.

19103464304001 is an abundant number, since it is smaller than the sum of its proper divisors (20516113529912).

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

19103464304001 is an frugal number, since it uses more digits than its factorization.

19103464304001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 19103464304001 by its sum of digits (36), we get a square (687724714944036 = 26224506²).

The spelling of 19103464304001 in words is "nineteen trillion, one hundred three billion, four hundred sixty-four million, three hundred four thousand, one".