114506731737400 has 192 divisors, whose sum is σ = 294166152161280. Its totient is φ = 41231124633600.

The previous prime is 114506731737361. The next prime is 114506731737413. The reversal of 114506731737400 is 4737137605411.

It is a super-2 number, since 2×114506731737400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259834757 + ... + 1259925643.

It is an arithmetic number, because the mean of its divisors is an integer number (1532115375840).

Almost surely, 2^{114506731737400} is an apocalyptic number.

114506731737400 is a gapful number since it is divisible by the number (10) 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 114506731737400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147083076080640).

114506731737400 is an abundant number, since it is smaller than the sum of its proper divisors (179659420423880).

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

114506731737400 is a wasteful number, since it uses less digits than its factorization.

114506731737400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107054 (or 107045 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 114506731737400 in words is "one hundred fourteen trillion, five hundred six billion, seven hundred thirty-one million, seven hundred thirty-seven thousand, four hundred".