35449152768 has 72 divisors (see below), whose sum is σ = 104829401600. Its totient is φ = 11816381952.

The previous prime is 35449152763. The next prime is 35449152793. The reversal of 35449152768 is 86725194453.

It is a happy number.

35449152768 is a `hidden beast` number, since 3 + 54 + 4 + 9 + 1 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35449152763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557408 + ... + 2571231.

Almost surely, 2^35449152768 is an apocalyptic number.

It is an amenable number.

35449152768 is an abundant number, since it is smaller than the sum of its proper divisors (69380248832).

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

35449152768 is an equidigital number, since it uses as much as digits as its factorization.

35449152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128664 (or 5128644 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 35449152768 in words is "thirty-five billion, four hundred forty-nine million, one hundred fifty-two thousand, seven hundred sixty-eight".