114346756104040 has 192 divisors, whose sum is σ = 271753501415760. Its totient is φ = 43294895001600.

The previous prime is 114346756104019. The next prime is 114346756104079. The reversal of 114346756104040 is 40401657643411.

It can be written as a sum of positive squares in 8 ways, for example, as 49602750298084 + 64744005805956 = 7042922^2 + 8046366^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 4567098402 + ... + 4567123438.

Almost surely, 2^{114346756104040} is an apocalyptic number.

114346756104040 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 114346756104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135876750707880).

114346756104040 is an abundant number, since it is smaller than the sum of its proper divisors (157406745311720).

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

114346756104040 is a wasteful number, since it uses less digits than its factorization.

114346756104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27332 (or 27305 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 114346756104040 in words is "one hundred fourteen trillion, three hundred forty-six billion, seven hundred fifty-six million, one hundred four thousand, forty".