114122771460 has 72 divisors (see below), whose sum is σ = 346313514456. Its totient is φ = 30420334080.

The previous prime is 114122771453. The next prime is 114122771479. The reversal of 114122771460 is 64177221411.

114122771460 is a `hidden beast` number, since 1 + 1 + 4 + 122 + 7 + 71 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19559141316 + 94563630144 = 139854^2 + 307512^2 .

It is a super-2 number, since 2×114122771460² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317880 + ... + 573840.

It is an arithmetic number, because the mean of its divisors is an integer number (4809909923).

Almost surely, 2^114122771460 is an apocalyptic number.

114122771460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122771460 is an abundant number, since it is smaller than the sum of its proper divisors (232190742996).

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

114122771460 is a wasteful number, since it uses less digits than its factorization.

114122771460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258453 (or 258448 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 114122771460 its reverse (64177221411), we get a palindrome (178299992871).

It can be divided in two parts, 11412 and 2771460, that added together give a palindrome (2782872).

The spelling of 114122771460 in words is "one hundred fourteen billion, one hundred twenty-two million, seven hundred seventy-one thousand, four hundred sixty".