116148218167296 has 544 divisors, whose sum is σ = 416439368398080. Its totient is φ = 31233077673984.

The previous prime is 116148218167277. The next prime is 116148218167301. The reversal of 116148218167296 is 692761812841611.

116148218167296 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 482 + 1 + 8 + 1 + 67 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210291370 + ... + 210842966.

Almost surely, 2^{116148218167296} is an apocalyptic number.

116148218167296 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 116148218167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208219684199040).

116148218167296 is an abundant number, since it is smaller than the sum of its proper divisors (300291150230784).

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

116148218167296 is an frugal number, since it uses more digits than its factorization.

116148218167296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551662 (or 551626 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 116148218167296 in words is "one hundred sixteen trillion, one hundred forty-eight billion, two hundred eighteen million, one hundred sixty-seven thousand, two hundred ninety-six".