4618668462408 has 1024 divisors, whose sum is σ = 17743380480000. Its totient is φ = 1074589701120.

The previous prime is 4618668462337. The next prime is 4618668462503. The reversal of 4618668462408 is 8042648668164.

4618668462408 is a `hidden beast` number, since 4 + 6 + 186 + 6 + 8 + 46 + 2 + 408 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1007780485 + ... + 1007785067.

It is an arithmetic number, because the mean of its divisors is an integer number (17327520000).

Almost surely, 2^{4618668462408} 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 4618668462408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871690240000).

4618668462408 is an abundant number, since it is smaller than the sum of its proper divisors (13124712017592).

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

4618668462408 is a wasteful number, since it uses less digits than its factorization.

4618668462408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 4618668462408 in words is "four trillion, six hundred eighteen billion, six hundred sixty-eight million, four hundred sixty-two thousand, four hundred eight".