4627112345856 has 4032 divisors, whose sum is σ = 20754107006976. Its totient is φ = 988957900800.

The previous prime is 4627112345837. The next prime is 4627112345953. The reversal of 4627112345856 is 6585432117264.

4627112345856 is a `hidden beast` number, since 4 + 6 + 27 + 1 + 1 + 2 + 34 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×4627112345856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9676800) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 98449198825 + ... + 98449198871.

It is an arithmetic number, because the mean of its divisors is an integer number (5147347968).

Almost surely, 2^{4627112345856} 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 4627112345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377053503488).

4627112345856 is an abundant number, since it is smaller than the sum of its proper divisors (16126994661120).

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

4627112345856 is a wasteful number, since it uses less digits than its factorization.

4627112345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 4627112345856 in words is "four trillion, six hundred twenty-seven billion, one hundred twelve million, three hundred forty-five thousand, eight hundred fifty-six".