116245723588704 has 1152 divisors, whose sum is σ = 380792695570560. Its totient is φ = 34732965888000.

The previous prime is 116245723588667. The next prime is 116245723588727. The reversal of 116245723588704 is 407885327542611.

116245723588704 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 572 + 3 + 58 + 8 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×116245723588704² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39960714802 + ... + 39960717710.

It is an arithmetic number, because the mean of its divisors is an integer number (330549214905).

Almost surely, 2^{116245723588704} 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 116245723588704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190396347785280).

116245723588704 is an abundant number, since it is smaller than the sum of its proper divisors (264546971981856).

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

116245723588704 is a wasteful number, since it uses less digits than its factorization.

116245723588704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 116245723588704 in words is "one hundred sixteen trillion, two hundred forty-five billion, seven hundred twenty-three million, five hundred eighty-eight thousand, seven hundred four".