54746522998272 has 640 divisors, whose sum is σ = 191419805491200. Its totient is φ = 15118169702400.

The previous prime is 54746522998157. The next prime is 54746522998291. The reversal of 54746522998272 is 27289922564745.

54746522998272 is a `hidden beast` number, since 5 + 4 + 7 + 4 + 6 + 522 + 9 + 98 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54746522998272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2462831254 + ... + 2462853482.

It is an arithmetic number, because the mean of its divisors is an integer number (299093446080).

Almost surely, 2^{54746522998272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54746522998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95709902745600).

54746522998272 is an abundant number, since it is smaller than the sum of its proper divisors (136673282492928).

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

54746522998272 is a wasteful number, since it uses less digits than its factorization.

54746522998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23115 (or 23093 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 54746522998272 in words is "fifty-four trillion, seven hundred forty-six billion, five hundred twenty-two million, nine hundred ninety-eight thousand, two hundred seventy-two".