84242258894124 has 216 divisors, whose sum is σ = 233253810775440. Its totient is φ = 25617857660928.

The previous prime is 84242258894093. The next prime is 84242258894137. The reversal of 84242258894124 is 42149885224248.

It is a happy number.

84242258894124 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 2 + 2 + 588 + 9 + 41 + 2 + 4 = 666.

It is a super-2 number, since 2×84242258894124² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44846862 + ... + 46687530.

It is an arithmetic number, because the mean of its divisors is an integer number (1079878753590).

Almost surely, 2^{84242258894124} 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 84242258894124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116626905387720).

84242258894124 is an abundant number, since it is smaller than the sum of its proper divisors (149011551881316).

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

84242258894124 is a wasteful number, since it uses less digits than its factorization.

84242258894124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840849 (or 1840827 counting only the distinct ones).

The product of its digits is 94371840, while the sum is 63.

The spelling of 84242258894124 in words is "eighty-four trillion, two hundred forty-two billion, two hundred fifty-eight million, eight hundred ninety-four thousand, one hundred twenty-four".