114840262633152 has 336 divisors, whose sum is σ = 375066757823328. Its totient is φ = 30813821337600.

The previous prime is 114840262633123. The next prime is 114840262633259. The reversal of 114840262633152 is 251336262048411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 72305152 + ... + 73876352.

Almost surely, 2^{114840262633152} is an apocalyptic number.

114840262633152 is a gapful number since it is divisible by the number (12) 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 114840262633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187533378911664).

114840262633152 is an abundant number, since it is smaller than the sum of its proper divisors (260226495190176).

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

114840262633152 is a wasteful number, since it uses less digits than its factorization.

114840262633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571704 (or 1571687 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 114840262633152 in words is "one hundred fourteen trillion, eight hundred forty billion, two hundred sixty-two million, six hundred thirty-three thousand, one hundred fifty-two".