114007690743600 has 480 divisors, whose sum is σ = 379885271572224. Its totient is φ = 29207369318400.

The previous prime is 114007690743599. The next prime is 114007690743613. The reversal of 114007690743600 is 6347096700411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114007690743600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763760172 + ... + 763909428.

Almost surely, 2^{114007690743600} is an apocalyptic number.

114007690743600 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 114007690743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189942635786112).

114007690743600 is an abundant number, since it is smaller than the sum of its proper divisors (265877580828624).

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

114007690743600 is a wasteful number, since it uses less digits than its factorization.

114007690743600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149565 (or 149554 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 114007690743600 in words is "one hundred fourteen trillion, seven billion, six hundred ninety million, seven hundred forty-three thousand, six hundred".