10413346464 has 144 divisors (see below), whose sum is σ = 32084724672. Its totient is φ = 3190892544.

The previous prime is 10413346457. The next prime is 10413346499. The reversal of 10413346464 is 46464331401.

10413346464 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 3 + 4 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 185797 + ... + 235259.

It is an arithmetic number, because the mean of its divisors is an integer number (222810588).

Almost surely, 2^10413346464 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 10413346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042362336).

10413346464 is an abundant number, since it is smaller than the sum of its proper divisors (21671378208).

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

10413346464 is a wasteful number, since it uses less digits than its factorization.

10413346464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49539 (or 49528 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 10413346464 its reverse (46464331401), we get a palindrome (56877677865).

The spelling of 10413346464 in words is "ten billion, four hundred thirteen million, three hundred forty-six thousand, four hundred sixty-four".