1029192918381 has 48 divisors (see below), whose sum is σ = 1499382127152. Its totient is φ = 680269363200.

The previous prime is 1029192918367. The next prime is 1029192918407. The reversal of 1029192918381 is 1838192919201.

It is a happy number.

1029192918381 is a `hidden beast` number, since 1 + 0 + 2 + 91 + 92 + 91 + 8 + 381 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 418857156 + 1028774061225 = 20466^2 + 1014285^2 .

It is not a de Polignac number, because 1029192918381 - 2²⁹ = 1028656047469 is a prime.

It is a super-2 number, since 2×1029192918381² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029192918361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480705571 + ... + 480707711.

It is an arithmetic number, because the mean of its divisors is an integer number (31237127649).

Almost surely, 2^{1029192918381} is an apocalyptic number.

It is an amenable number.

1029192918381 is a deficient number, since it is larger than the sum of its proper divisors (470189208771).

1029192918381 is a wasteful number, since it uses less digits than its factorization.

1029192918381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 1029192918381 in words is "one trillion, twenty-nine billion, one hundred ninety-two million, nine hundred eighteen thousand, three hundred eighty-one".