117146463840 has 1440 divisors, whose sum is σ = 515814868800. Its totient is φ = 25019559936.

The previous prime is 117146463823. The next prime is 117146463869. The reversal of 117146463840 is 48364641711.

117146463840 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 4 + 6 + 4 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1604746044 + ... + 1604746116.

It is an arithmetic number, because the mean of its divisors is an integer number (358204770).

Almost surely, 2^117146463840 is an apocalyptic number.

117146463840 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 117146463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257907434400).

117146463840 is an abundant number, since it is smaller than the sum of its proper divisors (398668404960).

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

117146463840 is an equidigital number, since it uses as much as digits as its factorization.

117146463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 117146463840 in words is "one hundred seventeen billion, one hundred forty-six million, four hundred sixty-three thousand, eight hundred forty".