54929166336 has 624 divisors, whose sum is σ = 186762663360. Its totient is φ = 15978332160.

The previous prime is 54929166289. The next prime is 54929166353. The reversal of 54929166336 is 63366192945.

54929166336 is a `hidden beast` number, since 5 + 492 + 91 + 6 + 63 + 3 + 6 = 666.

It is a super-3 number, since 3×54929166336³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317509546 + ... + 317509718.

It is an arithmetic number, because the mean of its divisors is an integer number (299299140).

Almost surely, 2^54929166336 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 54929166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93381331680).

54929166336 is an abundant number, since it is smaller than the sum of its proper divisors (131833497024).

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

54929166336 is a wasteful number, since it uses less digits than its factorization.

54929166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 54929166336 in words is "fifty-four billion, nine hundred twenty-nine million, one hundred sixty-six thousand, three hundred thirty-six".