115649749824 has 168 divisors, whose sum is σ = 358083794880. Its totient is φ = 32844478464.

The previous prime is 115649749819. The next prime is 115649749843. The reversal of 115649749824 is 428947946511.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534332 + ... + 1607940.

It is an arithmetic number, because the mean of its divisors is an integer number (2131451160).

Almost surely, 2^115649749824 is an apocalyptic number.

115649749824 is a gapful number since it is divisible by the number (14) 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 115649749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179041897440).

115649749824 is an abundant number, since it is smaller than the sum of its proper divisors (242434045056).

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

115649749824 is a wasteful number, since it uses less digits than its factorization.

115649749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73805 (or 73788 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 115649749824 in words is "one hundred fifteen billion, six hundred forty-nine million, seven hundred forty-nine thousand, eight hundred twenty-four".