84627455472648 has 96 divisors (see below), whose sum is σ = 250038624232800. Its totient is φ = 25644379852800.

The previous prime is 84627455472643. The next prime is 84627455472653.

84627455472648 is a `hidden beast` number, since 8 + 4 + 6 + 2 + 7 + 4 + 554 + 7 + 2 + 64 + 8 = 666.

84627455472648 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84627455472643) and next prime (84627455472653).

It is a super-2 number, since 2×84627455472648² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84627455472643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71492083 + ... + 72666173.

It is an arithmetic number, because the mean of its divisors is an integer number (2604569002425).

Almost surely, 2^{84627455472648} is an apocalyptic number.

84627455472648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84627455472648 is an abundant number, since it is smaller than the sum of its proper divisors (165411168760152).

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

84627455472648 is a wasteful number, since it uses less digits than its factorization.

84627455472648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265123 (or 1265116 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 72.

The spelling of 84627455472648 in words is "eighty-four trillion, six hundred twenty-seven billion, four hundred fifty-five million, four hundred seventy-two thousand, six hundred forty-eight".