11714201856 has 576 divisors, whose sum is σ = 41566784000. Its totient is φ = 3292047360.

The previous prime is 11714201801. The next prime is 11714201869. The reversal of 11714201856 is 65810241711.

11714201856 is a `hidden beast` number, since 1 + 171 + 420 + 18 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11714201856² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11714201856.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192036066 + ... + 192036126.

Almost surely, 2^11714201856 is an apocalyptic number.

11714201856 is a gapful number since it is divisible by the number (16) 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 11714201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20783392000).

11714201856 is an abundant number, since it is smaller than the sum of its proper divisors (29852582144).

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

11714201856 is an frugal number, since it uses more digits than its factorization.

11714201856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11714201856 in words is "eleven billion, seven hundred fourteen million, two hundred one thousand, eight hundred fifty-six".