54413541458208 has 480 divisors, whose sum is σ = 164602133942400. Its totient is φ = 17627663978496.

The previous prime is 54413541458207. The next prime is 54413541458233. The reversal of 54413541458208 is 80285414531445.

54413541458208 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 3 + 54 + 1 + 4 + 582 + 0 + 8 = 666.

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 (54413541458207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7527115138 + ... + 7527122366.

It is an arithmetic number, because the mean of its divisors is an integer number (342921112380).

Almost surely, 2^{54413541458208} 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 54413541458208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82301066971200).

54413541458208 is an abundant number, since it is smaller than the sum of its proper divisors (110188592484192).

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

54413541458208 is a wasteful number, since it uses less digits than its factorization.

54413541458208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 54413541458208 in words is "fifty-four trillion, four hundred thirteen billion, five hundred forty-one million, four hundred fifty-eight thousand, two hundred eight".