54336684100608 has 1584 divisors, whose sum is σ = 202671487848960. Its totient is φ = 14079678971904.

The previous prime is 54336684100519. The next prime is 54336684100651. The reversal of 54336684100608 is 80600148663345.

54336684100608 is a `hidden beast` number, since 5 + 43 + 366 + 84 + 100 + 60 + 8 = 666.

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 143 ways as a sum of consecutive naturals, for example, 427847906241 + ... + 427847906367.

Almost surely, 2^{54336684100608} 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 54336684100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101335743924480).

54336684100608 is an abundant number, since it is smaller than the sum of its proper divisors (148334803748352).

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

54336684100608 is a wasteful number, since it uses less digits than its factorization.

54336684100608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 54336684100608 in words is "fifty-four trillion, three hundred thirty-six billion, six hundred eighty-four million, one hundred thousand, six hundred eight".