1029498388164 has 45 divisors (see below), whose sum is σ = 2691359889757. Its totient is φ = 343160041536.

The previous prime is 1029498388159. The next prime is 1029498388207. The reversal of 1029498388164 is 4618838949201.

The square root of 1029498388164 is 1014642.

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

1029498388164 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 4 + 98 + 388 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66430938564 + 963067449600 = 257742^2 + 981360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18235372 + ... + 18291740.

Almost surely, 2^{1029498388164} is an apocalyptic number.

1029498388164 is the 1014642-nd square number.

It is an amenable number.

1029498388164 is an abundant number, since it is smaller than the sum of its proper divisors (1661861501593).

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

1029498388164 is an frugal number, since it uses more digits than its factorization.

1029498388164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112754 (or 56374 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1029498388164 in words is "one trillion, twenty-nine billion, four hundred ninety-eight million, three hundred eighty-eight thousand, one hundred sixty-four".