54697725702144 has 2496 divisors, whose sum is σ = 202233767543808. Its totient is φ = 14447384985600.

The previous prime is 54697725702133. The next prime is 54697725702209. The reversal of 54697725702144 is 44120752779645.

54697725702144 is a `hidden beast` number, since 5 + 46 + 9 + 7 + 7 + 2 + 570 + 2 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 749283913692 + ... + 749283913764.

It is an arithmetic number, because the mean of its divisors is an integer number (81023144048).

Almost surely, 2^{54697725702144} is an apocalyptic number.

54697725702144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54697725702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101116883771904).

54697725702144 is an abundant number, since it is smaller than the sum of its proper divisors (147536041841664).

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

54697725702144 is an equidigital number, since it uses as much as digits as its factorization.

54697725702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 54697725702144 in words is "fifty-four trillion, six hundred ninety-seven billion, seven hundred twenty-five million, seven hundred two thousand, one hundred forty-four".