4576214155968 has 1008 divisors, whose sum is σ = 17044172220960. Its totient is φ = 1199935586304.

The previous prime is 4576214155889. The next prime is 4576214156047. The reversal of 4576214155968 is 8695514126754.

It is a happy number.

4576214155968 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 2 + 14 + 1 + 559 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4576214155889) and next prime (4576214156047).

It is a tau number, because it is divible by the number of its divisors (1008).

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

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, 2761745796 + ... + 2761747452.

Almost surely, 2^{4576214155968} is an apocalyptic number.

4576214155968 is a gapful number since it is divisible by the number (48) 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 4576214155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522086110480).

4576214155968 is an abundant number, since it is smaller than the sum of its proper divisors (12467958064992).

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

4576214155968 is a wasteful number, since it uses less digits than its factorization.

4576214155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1875 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 4576214155968 in words is "four trillion, five hundred seventy-six billion, two hundred fourteen million, one hundred fifty-five thousand, nine hundred sixty-eight".