1129679882496 has 675 divisors, whose sum is σ = 3767066968665. Its totient is φ = 336715315200.

The previous prime is 1129679882489. The next prime is 1129679882519. The reversal of 1129679882496 is 6942889769211.

The square root of 1129679882496 is 1062864.

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

1129679882496 is a `hidden beast` number, since 1 + 1 + 296 + 7 + 98 + 8 + 249 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36735088896 + 1092944793600 = 191664^2 + 1045440^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 18519342306 + ... + 18519342366.

Almost surely, 2^{1129679882496} is an apocalyptic number.

1129679882496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1129679882496 is the 1062864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129679882496

1129679882496 is an abundant number, since it is smaller than the sum of its proper divisors (2637387086169).

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

1129679882496 is an frugal number, since it uses more digits than its factorization.

1129679882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 77 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 1129679882496 in words is "one trillion, one hundred twenty-nine billion, six hundred seventy-nine million, eight hundred eighty-two thousand, four hundred ninety-six".