10456001682 has 64 divisors (see below), whose sum is σ = 25176960000. Its totient is φ = 2827984320.

The previous prime is 10456001651. The next prime is 10456001683. The reversal of 10456001682 is 28610065401.

It is not an unprimeable number, because it can be changed into a prime (10456001683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191832 + ... + 1200572.

It is an arithmetic number, because the mean of its divisors is an integer number (393390000).

Almost surely, 2^10456001682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10456001682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588480000).

10456001682 is an abundant number, since it is smaller than the sum of its proper divisors (14720958318).

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

10456001682 is a wasteful number, since it uses less digits than its factorization.

10456001682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10456001682 in words is "ten billion, four hundred fifty-six million, one thousand, six hundred eighty-two".