114100461540 has 288 divisors, whose sum is σ = 388222934400. Its totient is φ = 27805939200.

The previous prime is 114100461529. The next prime is 114100461551. The reversal of 114100461540 is 45164001411.

114100461540 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 0 + 4 + 615 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (114100461529) and next prime (114100461551).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9211071 + ... + 9223449.

It is an arithmetic number, because the mean of its divisors is an integer number (1347996300).

Almost surely, 2^114100461540 is an apocalyptic number.

114100461540 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 114100461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194111467200).

114100461540 is an abundant number, since it is smaller than the sum of its proper divisors (274122472860).

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

114100461540 is a wasteful number, since it uses less digits than its factorization.

114100461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114100461540 its reverse (45164001411), we get a palindrome (159264462951).

The spelling of 114100461540 in words is "one hundred fourteen billion, one hundred million, four hundred sixty-one thousand, five hundred forty".