114766505460 has 72 divisors (see below), whose sum is σ = 356615944776. Its totient is φ = 29857950720.

The previous prime is 114766505407. The next prime is 114766505461. The reversal of 114766505460 is 64505667411.

114766505460 is a `hidden beast` number, since 1 + 1 + 47 + 6 + 65 + 0 + 546 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4093184484 + 110673320976 = 63978^2 + 332676^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114766505461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7768129 + ... + 7782888.

It is an arithmetic number, because the mean of its divisors is an integer number (4952999233).

Almost surely, 2^114766505460 is an apocalyptic number.

114766505460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114766505460 is an abundant number, since it is smaller than the sum of its proper divisors (241849439316).

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

114766505460 is a wasteful number, since it uses less digits than its factorization.

114766505460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15551073 (or 15551068 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 114766505460 in words is "one hundred fourteen billion, seven hundred sixty-six million, five hundred five thousand, four hundred sixty".