11700914273856 has 560 divisors, whose sum is σ = 35920789825536. Its totient is φ = 3779596214784.

The previous prime is 11700914273837. The next prime is 11700914273857. The reversal of 11700914273856 is 65837241900711.

11700914273856 is a `hidden beast` number, since 1 + 170 + 0 + 91 + 4 + 2 + 7 + 385 + 6 = 666.

It is a super-2 number, since 2×11700914273856² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11700914273857) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6335090725 + ... + 6335092571.

It is a 1-persistent number, because it is pandigital, but 2⋅11700914273856 = 23401828547712 is not.

Almost surely, 2^{11700914273856} is an apocalyptic number.

11700914273856 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 11700914273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960394912768).

11700914273856 is an abundant number, since it is smaller than the sum of its proper divisors (24219875551680).

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

11700914273856 is an frugal number, since it uses more digits than its factorization.

11700914273856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11700914273856 in words is "eleven trillion, seven hundred billion, nine hundred fourteen million, two hundred seventy-three thousand, eight hundred fifty-six".