2146116237300 has 216 divisors, whose sum is σ = 7688928252096. Its totient is φ = 490473031680.

The previous prime is 2146116237281. The next prime is 2146116237337. The reversal of 2146116237300 is 37326116412.

2146116237300 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 116 + 237 + 300 = 666.

It is a super-3 number, since 3×2146116237300³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56195812 + ... + 56233988.

It is an arithmetic number, because the mean of its divisors is an integer number (35596890056).

Almost surely, 2^{2146116237300} is an apocalyptic number.

2146116237300 is a gapful number since it is divisible by the number (20) 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 2146116237300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844464126048).

2146116237300 is an abundant number, since it is smaller than the sum of its proper divisors (5542812014796).

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

2146116237300 is a wasteful number, since it uses less digits than its factorization.

2146116237300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47127 (or 47117 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2146116237300 in words is "two trillion, one hundred forty-six billion, one hundred sixteen million, two hundred thirty-seven thousand, three hundred".