35849095506 has 168 divisors, whose sum is σ = 94128088860. Its totient is φ = 10205346816.

The previous prime is 35849095489. The next prime is 35849095523. The reversal of 35849095506 is 60559094853.

It is a happy number.

35849095506 is a `hidden beast` number, since 3 + 5 + 8 + 49 + 0 + 95 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (35849095489) and next prime (35849095523).

It can be written as a sum of positive squares in 2 ways, for example, as 33264288225 + 2584807281 = 182385^2 + 50841^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 24075210 + ... + 24076698.

Almost surely, 2^35849095506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35849095506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47064044430).

35849095506 is an abundant number, since it is smaller than the sum of its proper divisors (58278993354).

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

35849095506 is a wasteful number, since it uses less digits than its factorization.

35849095506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 35849095506 in words is "thirty-five billion, eight hundred forty-nine million, ninety-five thousand, five hundred six".