114197210477352 has 256 divisors, whose sum is σ = 355505099040000. Its totient is φ = 33753443696640.

The previous prime is 114197210477327. The next prime is 114197210477387. The reversal of 114197210477352 is 253774012791411.

114197210477352 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 7 + 210 + 4 + 77 + 352 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8106424 + ... + 17149592.

It is an arithmetic number, because the mean of its divisors is an integer number (1388691793125).

Almost surely, 2^{114197210477352} is an apocalyptic number.

114197210477352 is a gapful number since it is divisible by the number (12) 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 114197210477352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177752549520000).

114197210477352 is an abundant number, since it is smaller than the sum of its proper divisors (241307888562648).

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

114197210477352 is a wasteful number, since it uses less digits than its factorization.

114197210477352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043401 (or 9043391 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 114197210477352 in words is "one hundred fourteen trillion, one hundred ninety-seven billion, two hundred ten million, four hundred seventy-seven thousand, three hundred fifty-two".