10351433664 has 448 divisors, whose sum is σ = 36110753280. Its totient is φ = 2866544640.

The previous prime is 10351433663. The next prime is 10351433669. The reversal of 10351433664 is 46633415301.

10351433664 is a `hidden beast` number, since 103 + 514 + 3 + 36 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10351433663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40277824 + ... + 40278080.

It is an arithmetic number, because the mean of its divisors is an integer number (80604360).

Almost surely, 2^10351433664 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 10351433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18055376640).

10351433664 is an abundant number, since it is smaller than the sum of its proper divisors (25759319616).

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

10351433664 is a wasteful number, since it uses less digits than its factorization.

10351433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 10351433664 its reverse (46633415301), we get a palindrome (56984848965).

The spelling of 10351433664 in words is "ten billion, three hundred fifty-one million, four hundred thirty-three thousand, six hundred sixty-four".