54634929099072 has 448 divisors, whose sum is σ = 171022781005824. Its totient is φ = 15063287316480.

The previous prime is 54634929099061. The next prime is 54634929099109. The reversal of 54634929099072 is 27099092943645.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×54634929099072² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54634929098988 and 54634929099006.

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, 33871622938 + ... + 33871624550.

Almost surely, 2^{54634929099072} 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 54634929099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85511390502912).

54634929099072 is an abundant number, since it is smaller than the sum of its proper divisors (116387851906752).

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

54634929099072 is a wasteful number, since it uses less digits than its factorization.

54634929099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 69.

The spelling of 54634929099072 in words is "fifty-four trillion, six hundred thirty-four billion, nine hundred twenty-nine million, ninety-nine thousand, seventy-two".