11614266540 has 96 divisors (see below), whose sum is σ = 36363687360. Its totient is φ = 3077388288.

The previous prime is 11614266527. The next prime is 11614266551. The reversal of 11614266540 is 4566241611.

11614266540 is a `hidden beast` number, since 1 + 16 + 1 + 42 + 66 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11614266495 and 11614266504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16284 + ... + 153276.

It is an arithmetic number, because the mean of its divisors is an integer number (378788410).

Almost surely, 2^11614266540 is an apocalyptic number.

11614266540 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 11614266540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181843680).

11614266540 is an abundant number, since it is smaller than the sum of its proper divisors (24749420820).

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

11614266540 is a wasteful number, since it uses less digits than its factorization.

11614266540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137168 (or 137160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11614266540 in words is "eleven billion, six hundred fourteen million, two hundred sixty-six thousand, five hundred forty".