11629746003881 has 2 divisors, whose sum is σ = 11629746003882. Its totient is φ = 11629746003880.

The previous prime is 11629746003769. The next prime is 11629746003901. The reversal of 11629746003881 is 18830064792611.

It is a happy number.

11629746003881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11128929360025 + 500816643856 = 3336005^2 + 707684^2 .

It is a cyclic number.

It is not a de Polignac number, because 11629746003881 - 2¹⁸ = 11629745741737 is a prime.

It is a super-2 number, since 2×11629746003881² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11629746033881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5814873001940 + 5814873001941.

It is an arithmetic number, because the mean of its divisors is an integer number (5814873001941).

Almost surely, 2^{11629746003881} is an apocalyptic number.

It is an amenable number.

11629746003881 is a deficient number, since it is larger than the sum of its proper divisors (1).

11629746003881 is an equidigital number, since it uses as much as digits as its factorization.

11629746003881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 11629746003881 in words is "eleven trillion, six hundred twenty-nine billion, seven hundred forty-six million, three thousand, eight hundred eighty-one".