1364459946201 has 297 divisors, whose sum is σ = 2482007574837. Its totient is φ = 749360153520.

The previous prime is 1364459946181. The next prime is 1364459946233. The reversal of 1364459946201 is 1026499544631.

The square root of 1364459946201 is 1168101.

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

1364459946201 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 4 + 5 + 9 + 9 + 4 + 620 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (297).

It is not a de Polignac number, because 1364459946201 - 2³⁵ = 1330100207833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1364459926201) by changing a digit.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 59324345476 + ... + 59324345498.

Almost surely, 2^{1364459946201} is an apocalyptic number.

1364459946201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1364459946201 is the 1168101-st square number.

1364459946201 is the 584051-st centered octagonal number.

It is an amenable number.

1364459946201 is a deficient number, since it is larger than the sum of its proper divisors (1117547628636).

1364459946201 is an frugal number, since it uses more digits than its factorization.

1364459946201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 56 counting only the distinct ones).

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

The spelling of 1364459946201 in words is "one trillion, three hundred sixty-four billion, four hundred fifty-nine million, nine hundred forty-six thousand, two hundred one".