35645117664 has 144 divisors (see below), whose sum is σ = 101465529984. Its totient is φ = 10951948800.

The previous prime is 35645117653. The next prime is 35645117689. The reversal of 35645117664 is 46671154653.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16725879 + ... + 16728009.

It is an arithmetic number, because the mean of its divisors is an integer number (704621736).

Almost surely, 2^35645117664 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 35645117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50732764992).

35645117664 is an abundant number, since it is smaller than the sum of its proper divisors (65820412320).

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

35645117664 is a wasteful number, since it uses less digits than its factorization.

35645117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3180 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 35645117664 in words is "thirty-five billion, six hundred forty-five million, one hundred seventeen thousand, six hundred sixty-four".