54646542756 has 297 divisors, whose sum is σ = 159641052291. Its totient is φ = 16359879744.

The previous prime is 54646542737. The next prime is 54646542757. The reversal of 54646542756 is 65724564645.

The square root of 54646542756 is 233766.

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

54646542756 is a `hidden beast` number, since 5 + 4 + 6 + 46 + 542 + 7 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226984356 + 54419558400 = 15066^2 + 233280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54646542757) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1476933570 + ... + 1476933606.

Almost surely, 2^54646542756 is an apocalyptic number.

54646542756 is the 233766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54646542756

54646542756 is an abundant number, since it is smaller than the sum of its proper divisors (104994509535).

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

54646542756 is an equidigital number, since it uses as much as digits as its factorization.

54646542756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 55 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 54646542756 in words is "fifty-four billion, six hundred forty-six million, five hundred forty-two thousand, seven hundred fifty-six".