54923647280401 has 15 divisors (see below), whose sum is σ = 55896861616651. Its totient is φ = 53967377394784.

The previous prime is 54923647280389. The next prime is 54923647280419. The reversal of 54923647280401 is 10408274632945.

The square root of 54923647280401 is 7411049.

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

It can be written as a sum of positive squares in only one way, i.e., 13899109878801 + 41024537401600 = 3728151^2 + 6405040^2 .

It is not a de Polignac number, because 54923647280401 - 2⁷ = 54923647280273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54923647280101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25797860505 + ... + 25797862633.

It is a 1-persistent number, because it is pandigital, but 2⋅54923647280401 = 109847294560802 is not.

Almost surely, 2^{54923647280401} is an apocalyptic number.

54923647280401 is the 7411049-th square number.

54923647280401 is the 3705525-th centered octagonal number.

It is an amenable number.

54923647280401 is a deficient number, since it is larger than the sum of its proper divisors (973214336250).

54923647280401 is an frugal number, since it uses more digits than its factorization.

54923647280401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 54923647280401 in words is "fifty-four trillion, nine hundred twenty-three billion, six hundred forty-seven million, two hundred eighty thousand, four hundred one".