114777427047360 has 896 divisors, whose sum is σ = 461340613877760. Its totient is φ = 23482696089600.

The previous prime is 114777427047317. The next prime is 114777427047383. The reversal of 114777427047360 is 63740724777411.

It is a super-2 number, since 2×114777427047360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 114777427047294 and 114777427047303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13961488050 + ... + 13961496270.

Almost surely, 2^{114777427047360} is an apocalyptic number.

114777427047360 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 114777427047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230670306938880).

114777427047360 is an abundant number, since it is smaller than the sum of its proper divisors (346563186830400).

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

114777427047360 is a wasteful number, since it uses less digits than its factorization.

114777427047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 60.

The spelling of 114777427047360 in words is "one hundred fourteen trillion, seven hundred seventy-seven billion, four hundred twenty-seven million, forty-seven thousand, three hundred sixty".