4890433648464 has 1920 divisors, whose sum is σ = 19053891584000. Its totient is φ = 1158800670720.

The previous prime is 4890433648453. The next prime is 4890433648561. The reversal of 4890433648464 is 4648463340984.

It is a happy number.

4890433648464 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 433 + 64 + 84 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25339034352 + ... + 25339034544.

Almost surely, 2^{4890433648464} 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 4890433648464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526945792000).

4890433648464 is an abundant number, since it is smaller than the sum of its proper divisors (14163457935536).

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

4890433648464 is a wasteful number, since it uses less digits than its factorization.

4890433648464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 63.

The spelling of 4890433648464 in words is "four trillion, eight hundred ninety billion, four hundred thirty-three million, six hundred forty-eight thousand, four hundred sixty-four".