6954027428401 has 9 divisors (see below), whose sum is σ = 6964615441953. Its totient is φ = 6943455498960.

The previous prime is 6954027428393. The next prime is 6954027428431. The reversal of 6954027428401 is 1048247204596.

The square root of 6954027428401 is 2637049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1222791428401 + 5731236000000 = 1105799^2 + 2394000^2 .

It is not a de Polignac number, because 6954027428401 - 2³ = 6954027428393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6954027428431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2186112031 + ... + 2186115211.

It is an arithmetic number, because the mean of its divisors is an integer number (773846160217).

Almost surely, 2^{6954027428401} is an apocalyptic number.

6954027428401 is the 2637049-th square number.

6954027428401 is the 1318525-th centered octagonal number.

It is an amenable number.

6954027428401 is a deficient number, since it is larger than the sum of its proper divisors (10588013552).

6954027428401 is an frugal number, since it uses more digits than its factorization.

6954027428401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 6954027428401 in words is "six trillion, nine hundred fifty-four billion, twenty-seven million, four hundred twenty-eight thousand, four hundred one".