54418605696 has 576 divisors, whose sum is σ = 196805344320. Its totient is φ = 14129676288.

The previous prime is 54418605649. The next prime is 54418605707. The reversal of 54418605696 is 69650681445.

54418605696 is a `hidden beast` number, since 5 + 4 + 4 + 18 + 60 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×54418605696² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99485295 + ... + 99485841.

It is an arithmetic number, because the mean of its divisors is an integer number (341675945).

Almost surely, 2^54418605696 is an apocalyptic number.

54418605696 is a gapful number since it is divisible by the number (56) 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 54418605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98402672160).

54418605696 is an abundant number, since it is smaller than the sum of its proper divisors (142386738624).

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

54418605696 is a wasteful number, since it uses less digits than its factorization.

54418605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

It can be divided in two parts, 5441860 and 5696, that added together give a square (5447556 = 2334²).

The spelling of 54418605696 in words is "fifty-four billion, four hundred eighteen million, six hundred five thousand, six hundred ninety-six".