114360536198400 has 432 divisors, whose sum is σ = 378134403724224. Its totient is φ = 30437961891840.

The previous prime is 114360536198347. The next prime is 114360536198431. The reversal of 114360536198400 is 4891635063411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41540331424 + ... + 41540334176.

It is an arithmetic number, because the mean of its divisors is an integer number (875311119732).

Almost surely, 2^{114360536198400} is an apocalyptic number.

114360536198400 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 114360536198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189067201862112).

114360536198400 is an abundant number, since it is smaller than the sum of its proper divisors (263773867525824).

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

114360536198400 is a wasteful number, since it uses less digits than its factorization.

114360536198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 114360536198400 in words is "one hundred fourteen trillion, three hundred sixty billion, five hundred thirty-six million, one hundred ninety-eight thousand, four hundred".