114197820450 has 192 divisors, whose sum is σ = 345917288448. Its totient is φ = 24336921600.

The previous prime is 114197820431. The next prime is 114197820509. The reversal of 114197820450 is 54028791411.

It is a super-2 number, since 2×114197820450² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1880055 + ... + 1939845.

It is an arithmetic number, because the mean of its divisors is an integer number (1801652544).

Almost surely, 2^114197820450 is an apocalyptic number.

114197820450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114197820450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172958644224).

114197820450 is an abundant number, since it is smaller than the sum of its proper divisors (231719467998).

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

114197820450 is a wasteful number, since it uses less digits than its factorization.

114197820450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59937 (or 59932 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 114197820450 in words is "one hundred fourteen billion, one hundred ninety-seven million, eight hundred twenty thousand, four hundred fifty".