1009104629764 has 135 divisors (see below), whose sum is σ = 2263476532485. Its totient is φ = 392494650240.

The previous prime is 1009104629749. The next prime is 1009104629857. The reversal of 1009104629764 is 4679264019001.

The square root of 1009104629764 is 1004542.

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., 620487044100 + 388617585664 = 787710^2 + 623392^2 .

It is a super-2 number, since 2×1009104629764² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1701693852 + ... + 1701694444.

Almost surely, 2^{1009104629764} is an apocalyptic number.

1009104629764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1009104629764 is the 1004542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009104629764

1009104629764 is an abundant number, since it is smaller than the sum of its proper divisors (1254371902721).

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

1009104629764 is an frugal number, since it uses more digits than its factorization.

1009104629764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 1009104629764 by its sum of digits (49), we get a square (49446126858436 = 7031794²).

1009104629764 divided by its sum of digits (49) gives a square (20593972036 = 143506²).

The spelling of 1009104629764 in words is "one trillion, nine billion, one hundred four million, six hundred twenty-nine thousand, seven hundred sixty-four".