84477411851904 has 512 divisors, whose sum is σ = 259124520960000. Its totient is φ = 27077933076480.

The previous prime is 84477411851891. The next prime is 84477411851923. The reversal of 84477411851904 is 40915811477448.

84477411851904 is a `hidden beast` number, since 8 + 4 + 4 + 77 + 41 + 1 + 8 + 519 + 0 + 4 = 666.

It is a super-2 number, since 2×84477411851904² (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 63 ways as a sum of consecutive naturals, for example, 2442161649 + ... + 2442196239.

It is an arithmetic number, because the mean of its divisors is an integer number (506102580000).

Almost surely, 2^{84477411851904} 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 84477411851904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129562260480000).

84477411851904 is an abundant number, since it is smaller than the sum of its proper divisors (174647109108096).

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

84477411851904 is a wasteful number, since it uses less digits than its factorization.

84477411851904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34933 (or 34915 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 84477411851904 in words is "eighty-four trillion, four hundred seventy-seven billion, four hundred eleven million, eight hundred fifty-one thousand, nine hundred four".