35553742249 has 9 divisors (see below), whose sum is σ = 35811459621. Its totient is φ = 35297870400.

The previous prime is 35553742207. The next prime is 35553742283. The reversal of 35553742249 is 94224735553.

It is a happy number.

The square root of 35553742249 is 188557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23788435225 + 11765307024 = 154235^2 + 108468^2 .

It is not a de Polignac number, because 35553742249 - 2⁷ = 35553742121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35553742349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29602849 + ... + 29604049.

It is an arithmetic number, because the mean of its divisors is an integer number (3979051069).

Almost surely, 2^35553742249 is an apocalyptic number.

35553742249 is the 188557-th square number.

35553742249 is the 94279-th centered octagonal number.

It is an amenable number.

35553742249 is a deficient number, since it is larger than the sum of its proper divisors (257717372).

35553742249 is an frugal number, since it uses more digits than its factorization.

35553742249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 1358 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 49.

Multiplying 35553742249 by its sum of digits (49), we get a square (1742133370201 = 1319899²).

The spelling of 35553742249 in words is "thirty-five billion, five hundred fifty-three million, seven hundred forty-two thousand, two hundred forty-nine".