1214137330641 has 45 divisors (see below), whose sum is σ = 1826105740459. Its totient is φ = 803930918400.

The previous prime is 1214137330591. The next prime is 1214137330657. The reversal of 1214137330641 is 1460337314121.

The square root of 1214137330641 is 1101879.

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

1214137330641 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 3 + 7 + 3 + 3 + 0 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1095938890641 + 118198440000 = 1046871^2 + 343800^2 .

It is not a de Polignac number, because 1214137330641 - 2¹⁵ = 1214137297873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1214137330596 and 1214137330605.

It is not an unprimeable number, because it can be changed into a prime (1214137330691) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1894129681 + ... + 1894130321.

Almost surely, 2^{1214137330641} is an apocalyptic number.

1214137330641 is the 1101879-th square number.

1214137330641 is the 550940-th centered octagonal number.

It is an amenable number.

1214137330641 is a deficient number, since it is larger than the sum of its proper divisors (611968409818).

1214137330641 is an frugal number, since it uses more digits than its factorization.

1214137330641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 1214137330641 by its sum of digits (36), we get a square (43708943903076 = 6611274²).

The spelling of 1214137330641 in words is "one trillion, two hundred fourteen billion, one hundred thirty-seven million, three hundred thirty thousand, six hundred forty-one".