117000361923840 has 1728 divisors, whose sum is σ = 434127086265600. Its totient is φ = 30158873690112.

The previous prime is 117000361923803. The next prime is 117000361923853. The reversal of 117000361923840 is 48329163000711.

117000361923840 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 0 + 0 + 3 + 619 + 23 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 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, 434945583226 + ... + 434945583494.

It is an arithmetic number, because the mean of its divisors is an integer number (251230952700).

Almost surely, 2^{117000361923840} is an apocalyptic number.

117000361923840 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 117000361923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217063543132800).

117000361923840 is an abundant number, since it is smaller than the sum of its proper divisors (317126724341760).

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

117000361923840 is a wasteful number, since it uses less digits than its factorization.

117000361923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 117000361923840 in words is "one hundred seventeen trillion, three hundred sixty-one million, nine hundred twenty-three thousand, eight hundred forty".