1456266825006 has 192 divisors, whose sum is σ = 3553536849408. Its totient is φ = 389434784256.

The previous prime is 1456266825001. The next prime is 1456266825029. The reversal of 1456266825006 is 6005286626541.

It is a super-2 number, since 2×1456266825006² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1456266825006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456266825001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382923901 + ... + 382927703.

It is an arithmetic number, because the mean of its divisors is an integer number (18508004424).

Almost surely, 2^{1456266825006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456266825006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776768424704).

1456266825006 is an abundant number, since it is smaller than the sum of its proper divisors (2097270024402).

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

1456266825006 is a wasteful number, since it uses less digits than its factorization.

1456266825006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 1456266825006 in words is "one trillion, four hundred fifty-six billion, two hundred sixty-six million, eight hundred twenty-five thousand, six".