261657136414344 has 64 divisors (see below), whose sum is σ = 717346552135680. Its totient is φ = 78874910216000.

The previous prime is 261657136414337. The next prime is 261657136414367. The reversal of 261657136414344 is 443414631756162.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2594518992 + ... + 2594619839.

It is an arithmetic number, because the mean of its divisors is an integer number (11208539877120).

Almost surely, 2^{261657136414344} is an apocalyptic number.

261657136414344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261657136414344 is an abundant number, since it is smaller than the sum of its proper divisors (455689415721336).

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

261657136414344 is a wasteful number, since it uses less digits than its factorization.

261657136414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189139042 (or 5189139038 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 261657136414344 in words is "two hundred sixty-one trillion, six hundred fifty-seven billion, one hundred thirty-six million, four hundred fourteen thousand, three hundred forty-four".