4659466121856 has 384 divisors, whose sum is σ = 17227658750400. Its totient is φ = 1228869605376.

The previous prime is 4659466121767. The next prime is 4659466121881. The reversal of 4659466121856 is 6581216649564.

4659466121856 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 4 + 6 + 612 + 1 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4659466121793 and 4659466121802.

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, 1143211 + ... + 3259733.

Almost surely, 2^{4659466121856} 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 4659466121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8613829375200).

4659466121856 is an abundant number, since it is smaller than the sum of its proper divisors (12568192628544).

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

4659466121856 is a wasteful number, since it uses less digits than its factorization.

4659466121856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116573 (or 2116548 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 4659466121856 in words is "four trillion, six hundred fifty-nine billion, four hundred sixty-six million, one hundred twenty-one thousand, eight hundred fifty-six".