4233116065464 has 1152 divisors, whose sum is σ = 14503297536000. Its totient is φ = 1103791104000.

The previous prime is 4233116065459. The next prime is 4233116065561. The reversal of 4233116065464 is 4645606113324.

4233116065464 is a `hidden beast` number, since 4 + 2 + 3 + 31 + 1 + 606 + 5 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25348000309 + ... + 25348000475.

It is an arithmetic number, because the mean of its divisors is an integer number (12589668000).

Almost surely, 2^{4233116065464} is an apocalyptic number.

4233116065464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233116065464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251648768000).

4233116065464 is an abundant number, since it is smaller than the sum of its proper divisors (10270181470536).

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

4233116065464 is a wasteful number, since it uses less digits than its factorization.

4233116065464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4233116065464 in words is "four trillion, two hundred thirty-three billion, one hundred sixteen million, sixty-five thousand, four hundred sixty-four".