1014456544100 has 36 divisors (see below), whose sum is σ = 2201787438564. Its totient is φ = 405705799680.

The previous prime is 1014456543983. The next prime is 1014456544111. The reversal of 1014456544100 is 14456544101.

It can be written as a sum of positive squares in 6 ways, for example, as 98592232036 + 915864312064 = 313994^2 + 957008^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 427877 + ... + 1487276.

Almost surely, 2^{1014456544100} is an apocalyptic number.

1014456544100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014456544100 is an abundant number, since it is smaller than the sum of its proper divisors (1187330894464).

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

1014456544100 is a wasteful number, since it uses less digits than its factorization.

1014456544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920464 (or 1920457 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Subtracting from 1014456544100 its reverse (14456544101), we obtain a palindrome (999999999999).

The spelling of 1014456544100 in words is "one trillion, fourteen billion, four hundred fifty-six million, five hundred forty-four thousand, one hundred".