54610145856 has 336 divisors, whose sum is σ = 188021268864. Its totient is φ = 14826405888.

The previous prime is 54610145839. The next prime is 54610145903. The reversal of 54610145856 is 65854101645.

54610145856 is a `hidden beast` number, since 5 + 4 + 61 + 0 + 1 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6410656 + ... + 6419168.

Almost surely, 2^54610145856 is an apocalyptic number.

54610145856 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 54610145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94010634432).

54610145856 is an abundant number, since it is smaller than the sum of its proper divisors (133411123008).

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

54610145856 is a wasteful number, since it uses less digits than its factorization.

54610145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 54610145856 in words is "fifty-four billion, six hundred ten million, one hundred forty-five thousand, eight hundred fifty-six".