84918166030152 has 1536 divisors, whose sum is σ = 318025211904000. Its totient is φ = 20494370856960.

The previous prime is 84918166030151. The next prime is 84918166030153. The reversal of 84918166030152 is 25103066181948.

It is a happy number.

84918166030152 is a `hidden beast` number, since 8 + 4 + 9 + 1 + 8 + 16 + 603 + 0 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (84918166030151) and next prime (84918166030153).

It is a super-2 number, since 2×84918166030152² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84918166030151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16215037678 + ... + 16215042914.

It is an arithmetic number, because the mean of its divisors is an integer number (207047664000).

Almost surely, 2^{84918166030152} 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 84918166030152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159012605952000).

84918166030152 is an abundant number, since it is smaller than the sum of its proper divisors (233107045873848).

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

84918166030152 is a wasteful number, since it uses less digits than its factorization.

84918166030152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 84918166030152 in words is "eighty-four trillion, nine hundred eighteen billion, one hundred sixty-six million, thirty thousand, one hundred fifty-two".