15420834201969 has 81 divisors (see below), whose sum is σ = 26313131900601. Its totient is φ = 8677274150160.

The previous prime is 15420834201947. The next prime is 15420834201979. The reversal of 15420834201969 is 96910243802451.

It is a happy number.

The square root of 15420834201969 is 3926937.

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

15420834201969 is a `hidden beast` number, since 1 + 5 + 4 + 20 + 8 + 3 + 420 + 196 + 9 = 666.

It is not a de Polignac number, because 15420834201969 - 2⁵ = 15420834201937 is a prime.

It is a super-2 number, since 2×15420834201969² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15420834201979) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5525198964 + ... + 5525201754.

Almost surely, 2^{15420834201969} is an apocalyptic number.

15420834201969 is the 3926937-th square number.

15420834201969 is the 1963469-th centered octagonal number.

It is an amenable number.

15420834201969 is a deficient number, since it is larger than the sum of its proper divisors (10892297698632).

15420834201969 is an frugal number, since it uses more digits than its factorization.

15420834201969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 15420834201969 in words is "fifteen trillion, four hundred twenty billion, eight hundred thirty-four million, two hundred one thousand, nine hundred sixty-nine".