4428364846464 has 1536 divisors, whose sum is σ = 15662372544000. Its totient is φ = 1233091952640.

The previous prime is 4428364846363. The next prime is 4428364846537. The reversal of 4428364846464 is 4646484638244.

4428364846464 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 36 + 484 + 64 + 64 = 666.

It is a super-2 number, since 2×4428364846464² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24739468327 + ... + 24739468505.

It is an arithmetic number, because the mean of its divisors is an integer number (10196857125).

Almost surely, 2^{4428364846464} 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 4428364846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831186272000).

4428364846464 is an abundant number, since it is smaller than the sum of its proper divisors (11234007697536).

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

4428364846464 is a wasteful number, since it uses less digits than its factorization.

4428364846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 63.

The spelling of 4428364846464 in words is "four trillion, four hundred twenty-eight billion, three hundred sixty-four million, eight hundred forty-six thousand, four hundred sixty-four".