1456254006642 has 96 divisors (see below), whose sum is σ = 3361132569600. Its totient is φ = 454372060896.

The previous prime is 1456254006631. The next prime is 1456254006643. The reversal of 1456254006642 is 2466004526541.

1456254006642 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 2 + 540 + 0 + 66 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (1456254006643) 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 47 ways as a sum of consecutive naturals, for example, 15558459 + ... + 15651777.

It is an arithmetic number, because the mean of its divisors is an integer number (35011797600).

Almost surely, 2^{1456254006642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456254006642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680566284800).

1456254006642 is an abundant number, since it is smaller than the sum of its proper divisors (1904878562958).

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

1456254006642 is a wasteful number, since it uses less digits than its factorization.

1456254006642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93892 (or 93889 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1456254006642 in words is "one trillion, four hundred fifty-six billion, two hundred fifty-four million, six thousand, six hundred forty-two".