4578924817152 has 1296 divisors, whose sum is σ = 17230135104000. Its totient is φ = 1158800670720.

The previous prime is 4578924817127. The next prime is 4578924817183. The reversal of 4578924817152 is 2517184298754.

4578924817152 is a `hidden beast` number, since 4 + 5 + 7 + 89 + 2 + 481 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×4578924817152² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4578924817152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7256615877 + ... + 7256616507.

Almost surely, 2^{4578924817152} is an apocalyptic number.

4578924817152 is a gapful number since it is divisible by the number (42) 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 4578924817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615067552000).

4578924817152 is an abundant number, since it is smaller than the sum of its proper divisors (12651210286848).

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

4578924817152 is a wasteful number, since it uses less digits than its factorization.

4578924817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 878 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 4578924817152 in words is "four trillion, five hundred seventy-eight billion, nine hundred twenty-four million, eight hundred seventeen thousand, one hundred fifty-two".