116427566481408 has 1440 divisors, whose sum is σ = 439821377924544. Its totient is φ = 29867101913088.

The previous prime is 116427566481397. The next prime is 116427566481433. The reversal of 116427566481408 is 804184665724611.

It is a happy number.

116427566481408 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 27 + 566 + 4 + 8 + 1 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35746871716 + ... + 35746874972.

Almost surely, 2^{116427566481408} is an apocalyptic number.

116427566481408 is a gapful number since it is divisible by the number (18) 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 116427566481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219910688962272).

116427566481408 is an abundant number, since it is smaller than the sum of its proper divisors (323393811443136).

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

116427566481408 is an frugal number, since it uses more digits than its factorization.

116427566481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 116427566481408 in words is "one hundred sixteen trillion, four hundred twenty-seven billion, five hundred sixty-six million, four hundred eighty-one thousand, four hundred eight".