4656307046430 has 256 divisors, whose sum is σ = 12739015618560. Its totient is φ = 1081432332288.

The previous prime is 4656307046429. The next prime is 4656307046431. The reversal of 4656307046430 is 346407036564.

It is an interprime number because it is at equal distance from previous prime (4656307046429) and next prime (4656307046431).

It is a self number, because there is not a number n which added to its sum of digits gives 4656307046430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656307046431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73893397 + ... + 73956383.

It is an arithmetic number, because the mean of its divisors is an integer number (49761779760).

Almost surely, 2^{4656307046430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656307046430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369507809280).

4656307046430 is an abundant number, since it is smaller than the sum of its proper divisors (8082708572130).

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

4656307046430 is a wasteful number, since it uses less digits than its factorization.

4656307046430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63203.

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 4656307046430 in words is "four trillion, six hundred fifty-six billion, three hundred seven million, forty-six thousand, four hundred thirty".