11735140616661 has 32 divisors (see below), whose sum is σ = 19508390995968. Its totient is φ = 6095981701440.

The previous prime is 11735140616579. The next prime is 11735140616677. The reversal of 11735140616661 is 16661604153711.

11735140616661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11735140616661 - 2¹⁸ = 11735140354517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11735140616661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11735140616461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6559071 + ... + 8154243.

It is an arithmetic number, because the mean of its divisors is an integer number (609637218624).

Almost surely, 2^{11735140616661} is an apocalyptic number.

11735140616661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11735140616661 is a deficient number, since it is larger than the sum of its proper divisors (7773250379307).

11735140616661 is a wasteful number, since it uses less digits than its factorization.

11735140616661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627041.

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 11735140616661 in words is "eleven trillion, seven hundred thirty-five billion, one hundred forty million, six hundred sixteen thousand, six hundred sixty-one".