116254621440 has 648 divisors, whose sum is σ = 424828884480. Its totient is φ = 30474952704.

The previous prime is 116254621369. The next prime is 116254621447. The reversal of 116254621440 is 44126452611.

116254621440 is a `hidden beast` number, since 1 + 1 + 6 + 25 + 4 + 621 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116254621395 and 116254621404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116254621447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915390657 + ... + 915390783.

Almost surely, 2^116254621440 is an apocalyptic number.

116254621440 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 116254621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212414442240).

116254621440 is an abundant number, since it is smaller than the sum of its proper divisors (308574263040).

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

116254621440 is an frugal number, since it uses more digits than its factorization.

116254621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 116254621440 in words is "one hundred sixteen billion, two hundred fifty-four million, six hundred twenty-one thousand, four hundred forty".