54116251641 has 9 divisors (see below), whose sum is σ = 78168927109. Its totient is φ = 36077035836.

The previous prime is 54116251601. The next prime is 54116251643. The reversal of 54116251641 is 14615261145.

The square root of 54116251641 is 232629.

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

54116251641 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 6 + 2 + 5 + 1 + 641 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 54116251641 - 2⁹ = 54116251129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54116251596 and 54116251605.

It is not an unprimeable number, because it can be changed into a prime (54116251643) 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, 659116 + ... + 736658.

Almost surely, 2^54116251641 is an apocalyptic number.

54116251641 is the 232629-th square number.

54116251641 is the 116315-th centered octagonal number.

It is an amenable number.

54116251641 is a deficient number, since it is larger than the sum of its proper divisors (24052675468).

54116251641 is an frugal number, since it uses more digits than its factorization.

54116251641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155092 (or 77546 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Multiplying 54116251641 by its sum of digits (36), we get a square (1948185059076 = 1395774²).

The spelling of 54116251641 in words is "fifty-four billion, one hundred sixteen million, two hundred fifty-one thousand, six hundred forty-one".