11416726616251 has 24 divisors (see below), whose sum is σ = 12604216296672. Its totient is φ = 10333166764800.

The previous prime is 11416726616201. The next prime is 11416726616293. The reversal of 11416726616251 is 15261662761411.

It is not a de Polignac number, because 11416726616251 - 2¹¹ = 11416726614203 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11416726616195 and 11416726616204.

It is not an unprimeable number, because it can be changed into a prime (11416726616201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120475050 + ... + 120569776.

It is an arithmetic number, because the mean of its divisors is an integer number (525175679028).

Almost surely, 2^{11416726616251} is an apocalyptic number.

11416726616251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11416726616251 is a deficient number, since it is larger than the sum of its proper divisors (1187489680421).

11416726616251 is a wasteful number, since it uses less digits than its factorization.

11416726616251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99123 (or 99112 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The spelling of 11416726616251 in words is "eleven trillion, four hundred sixteen billion, seven hundred twenty-six million, six hundred sixteen thousand, two hundred fifty-one".