114855269473152 has 320 divisors, whose sum is σ = 370998782246400. Its totient is φ = 35061809319936.

The previous prime is 114855269473129. The next prime is 114855269473163. The reversal of 114855269473152 is 251374962558411.

114855269473152 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 5 + 2 + 6 + 9 + 473 + 152 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114855269473152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13762674 + ... + 20472462.

It is an arithmetic number, because the mean of its divisors is an integer number (1159371194520).

Almost surely, 2^{114855269473152} is an apocalyptic number.

114855269473152 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 114855269473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185499391123200).

114855269473152 is an abundant number, since it is smaller than the sum of its proper divisors (256143512773248).

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

114855269473152 is a wasteful number, since it uses less digits than its factorization.

114855269473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709955 (or 6709934 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 114855269473152 in words is "one hundred fourteen trillion, eight hundred fifty-five billion, two hundred sixty-nine million, four hundred seventy-three thousand, one hundred fifty-two".