84283088972544 has 1080 divisors, whose sum is σ = 319302236772288. Its totient is φ = 21865848238080.

The previous prime is 84283088972519. The next prime is 84283088972557. The reversal of 84283088972544 is 44527988038248.

84283088972544 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 3 + 0 + 8 + 8 + 9 + 72 + 544 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10584334707 + ... + 10584342669.

Almost surely, 2^{84283088972544} is an apocalyptic number.

84283088972544 is a gapful number since it is divisible by the number (84) 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 84283088972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159651118386144).

84283088972544 is an abundant number, since it is smaller than the sum of its proper divisors (235019147799744).

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

84283088972544 is a wasteful number, since it uses less digits than its factorization.

84283088972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 84283088972544 in words is "eighty-four trillion, two hundred eighty-three billion, eighty-eight million, nine hundred seventy-two thousand, five hundred forty-four".