116404299648 has 1536 divisors, whose sum is σ = 470486016000. Its totient is φ = 27311800320.

The previous prime is 116404299623. The next prime is 116404299689. The reversal of 116404299648 is 846992404611.

116404299648 is a `hidden beast` number, since 116 + 40 + 429 + 9 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116404299594 and 116404299603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2707076715 + ... + 2707076757.

It is an arithmetic number, because the mean of its divisors is an integer number (306306000).

Almost surely, 2^116404299648 is an apocalyptic number.

116404299648 is a gapful number since it is divisible by the number (18) 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 116404299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235243008000).

116404299648 is an abundant number, since it is smaller than the sum of its proper divisors (354081716352).

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

116404299648 is a wasteful number, since it uses less digits than its factorization.

116404299648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 116404299648 in words is "one hundred sixteen billion, four hundred four million, two hundred ninety-nine thousand, six hundred forty-eight".