54201635454976 has 135 divisors (see below), whose sum is σ = 109583033720251. Its totient is φ = 26808215404544.

The previous prime is 54201635454893. The next prime is 54201635454983. The reversal of 54201635454976 is 67945453610245.

The square root of 54201635454976 is 7362176.

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 5164892569600 + 49036742885376 = 2272640^2 + 7002624^2 .

It is a super-2 number, since 2×54201635454976² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106486513410 + ... + 106486513918.

Almost surely, 2^{54201635454976} is an apocalyptic number.

54201635454976 is the 7362176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54201635454976

54201635454976 is an abundant number, since it is smaller than the sum of its proper divisors (55381398265275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54201635454976 is an frugal number, since it uses more digits than its factorization.

54201635454976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 61.

The spelling of 54201635454976 in words is "fifty-four trillion, two hundred one billion, six hundred thirty-five million, four hundred fifty-four thousand, nine hundred seventy-six".