54356124736 has 63 divisors (see below), whose sum is σ = 109147505733. Its totient is φ = 26858188800.

The previous prime is 54356124731. The next prime is 54356124773. The reversal of 54356124736 is 63742165345.

It is a happy number.

The square root of 54356124736 is 233144.

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., 13169857600 + 41186267136 = 114760^2 + 202944^2 .

It is a Duffinian number.

Its product of digits (1814400) is a multiple of the sum of its prime factors (700).

It is not an unprimeable number, because it can be changed into a prime (54356124731) 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, 281637856 + ... + 281638048.

It is an arithmetic number, because the mean of its divisors is an integer number (1732500091).

Almost surely, 2^54356124736 is an apocalyptic number.

54356124736 is the 233144-th square number.

It is an amenable number.

54356124736 is an abundant number, since it is smaller than the sum of its proper divisors (54791380997).

54356124736 is an frugal number, since it uses more digits than its factorization.

54356124736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 346 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 46.

The spelling of 54356124736 in words is "fifty-four billion, three hundred fifty-six million, one hundred twenty-four thousand, seven hundred thirty-six".