1029185902144 has 63 divisors (see below), whose sum is σ = 2055435767073. Its totient is φ = 511301952000.

The previous prime is 1029185902133. The next prime is 1029185902169. The reversal of 1029185902144 is 4412095819201.

The square root of 1029185902144 is 1014488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 865063687744 + 164122214400 = 930088^2 + 405120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1029185902094 and 1029185902103.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1712455444 + ... + 1712456044.

Almost surely, 2^{1029185902144} is an apocalyptic number.

1029185902144 is the 1014488-th square number.

It is an amenable number.

1029185902144 is a deficient number, since it is larger than the sum of its proper divisors (1026249864929).

1029185902144 is an frugal number, since it uses more digits than its factorization.

1029185902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 1029185902144 in words is "one trillion, twenty-nine billion, one hundred eighty-five million, nine hundred two thousand, one hundred forty-four".