118964875011840 has 5184 divisors, whose sum is σ = 540150616212480. Its totient is φ = 24689548984320.

The previous prime is 118964875011839. The next prime is 118964875011953. The reversal of 118964875011840 is 48110578469811.

118964875011840 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 6 + 4 + 87 + 501 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1629655822044 + ... + 1629655822116.

It is an arithmetic number, because the mean of its divisors is an integer number (104195720720).

Almost surely, 2^{118964875011840} is an apocalyptic number.

118964875011840 is a gapful number since it is divisible by the number (10) 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 118964875011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270075308106240).

118964875011840 is an abundant number, since it is smaller than the sum of its proper divisors (421185741200640).

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

118964875011840 is an equidigital number, since it uses as much as digits as its factorization.

118964875011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 118964875011840 in words is "one hundred eighteen trillion, nine hundred sixty-four billion, eight hundred seventy-five million, eleven thousand, eight hundred forty".