35013642048 has 336 divisors, whose sum is σ = 126898237440. Its totient is φ = 8965555200.

The previous prime is 35013642011. The next prime is 35013642107. The reversal of 35013642048 is 84024631053.

35013642048 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 3 + 642 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3143433 + ... + 3154551.

Almost surely, 2^35013642048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35013642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63449118720).

35013642048 is an abundant number, since it is smaller than the sum of its proper divisors (91884595392).

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

35013642048 is a wasteful number, since it uses less digits than its factorization.

35013642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 35013642048 in words is "thirty-five billion, thirteen million, six hundred forty-two thousand, forty-eight".