116484915456 has 1008 divisors, whose sum is σ = 452895130240. Its totient is φ = 29104386048.

The previous prime is 116484915373. The next prime is 116484915457. The reversal of 116484915456 is 654519484611.

116484915456 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 8 + 4 + 91 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116484915457) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6130785015 + ... + 6130785033.

Almost surely, 2^116484915456 is an apocalyptic number.

116484915456 is a gapful number since it is divisible by the number (16) 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 116484915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226447565120).

116484915456 is an abundant number, since it is smaller than the sum of its proper divisors (336410214784).

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

116484915456 is an frugal number, since it uses more digits than its factorization.

116484915456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 44 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 116484915456 in words is "one hundred sixteen billion, four hundred eighty-four million, nine hundred fifteen thousand, four hundred fifty-six".