459552393216 has 1152 divisors, whose sum is σ = 1699976678400. Its totient is φ = 121111511040.

The previous prime is 459552393191. The next prime is 459552393229. The reversal of 459552393216 is 612393255954.

459552393216 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 523 + 93 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×459552393216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3508033471 + ... + 3508033601.

It is an arithmetic number, because the mean of its divisors is an integer number (1475674200).

Almost surely, 2^459552393216 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 459552393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849988339200).

459552393216 is an abundant number, since it is smaller than the sum of its proper divisors (1240424285184).

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

459552393216 is a wasteful number, since it uses less digits than its factorization.

459552393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 459552393216 in words is "four hundred fifty-nine billion, five hundred fifty-two million, three hundred ninety-three thousand, two hundred sixteen".