15406343350464 has 112 divisors (see below), whose sum is σ = 44508126514176. Its totient is φ = 4664408601600.

The previous prime is 15406343350427. The next prime is 15406343350469. The reversal of 15406343350464 is 46405334360451.

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

It is not an unprimeable number, because it can be changed into a prime (15406343350469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906192 + ... + 5624399.

Almost surely, 2^{15406343350464} 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 15406343350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254063257088).

15406343350464 is an abundant number, since it is smaller than the sum of its proper divisors (29101783163712).

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

15406343350464 is a wasteful number, since it uses less digits than its factorization.

15406343350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531734 (or 6531724 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 15406343350464 in words is "fifteen trillion, four hundred six billion, three hundred forty-three million, three hundred fifty thousand, four hundred sixty-four".