11714662278144 has 1760 divisors, whose sum is σ = 43200924535296. Its totient is φ = 3090135121920.

The previous prime is 11714662278101. The next prime is 11714662278157. The reversal of 11714662278144 is 44187226641711.

11714662278144 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 4 + 6 + 622 + 7 + 8 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59465290654 + ... + 59465290850.

Almost surely, 2^{11714662278144} is an apocalyptic number.

11714662278144 is a gapful number since it is divisible by the number (14) 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 11714662278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600462267648).

11714662278144 is an abundant number, since it is smaller than the sum of its proper divisors (31486262257152).

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

11714662278144 is a wasteful number, since it uses less digits than its factorization.

11714662278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 11714662278144 in words is "eleven trillion, seven hundred fourteen billion, six hundred sixty-two million, two hundred seventy-eight thousand, one hundred forty-four".