4597901144064 has 624 divisors, whose sum is σ = 14495590420480. Its totient is φ = 1398873784320.

The previous prime is 4597901144029. The next prime is 4597901144087. The reversal of 4597901144064 is 4604411097954.

It is a happy number.

4597901144064 is a `hidden beast` number, since 4 + 59 + 7 + 90 + 1 + 1 + 440 + 64 = 666.

It is a super-2 number, since 2×4597901144064² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4597901144064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7968632544 + ... + 7968633120.

Almost surely, 2^{4597901144064} 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 4597901144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247795210240).

4597901144064 is an abundant number, since it is smaller than the sum of its proper divisors (9897689276416).

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

4597901144064 is a wasteful number, since it uses less digits than its factorization.

4597901144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4597901144064 in words is "four trillion, five hundred ninety-seven billion, nine hundred one million, one hundred forty-four thousand, sixty-four".