84261946354560 has 1536 divisors, whose sum is σ = 343571985469440. Its totient is φ = 18831605760000.

The previous prime is 84261946354499. The next prime is 84261946354567. The reversal of 84261946354560 is 6545364916248.

It is a happy number.

84261946354560 is a `hidden beast` number, since 8 + 4 + 2 + 6 + 1 + 9 + 4 + 63 + 5 + 4 + 560 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84261946354567) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 13061839335 + ... + 13061845785.

It is an arithmetic number, because the mean of its divisors is an integer number (223679678040).

Almost surely, 2^{84261946354560} is an apocalyptic number.

84261946354560 is a gapful number since it is divisible by the number (80) 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 84261946354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171785992734720).

84261946354560 is an abundant number, since it is smaller than the sum of its proper divisors (259310039114880).

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

84261946354560 is a wasteful number, since it uses less digits than its factorization.

84261946354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 84261946354560 in words is "eighty-four trillion, two hundred sixty-one billion, nine hundred forty-six million, three hundred fifty-four thousand, five hundred sixty".