84001949408 has 192 divisors, whose sum is σ = 191395975680. Its totient is φ = 35968665600.

The previous prime is 84001949333. The next prime is 84001949411. The reversal of 84001949408 is 80494910048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101573891 + ... + 101574717.

It is an arithmetic number, because the mean of its divisors is an integer number (996854040).

Almost surely, 2^84001949408 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 84001949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95697987840).

84001949408 is an abundant number, since it is smaller than the sum of its proper divisors (107394026272).

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

84001949408 is a wasteful number, since it uses less digits than its factorization.

84001949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 84001949408 in words is "eighty-four billion, one million, nine hundred forty-nine thousand, four hundred eight".