1074987417856 has 243 divisors, whose sum is σ = 2432460402813. Its totient is φ = 473783439360.

The previous prime is 1074987417797. The next prime is 1074987417859. The reversal of 1074987417856 is 6587147894701.

The square root of 1074987417856 is 1036816.

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., 631452729600 + 443534688256 = 794640^2 + 665984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1074987417791 and 1074987417800.

It is not an unprimeable number, because it can be changed into a prime (1074987417859) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7846623420 + ... + 7846623556.

Almost surely, 2^{1074987417856} is an apocalyptic number.

1074987417856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1074987417856 is the 1036816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074987417856

1074987417856 is an abundant number, since it is smaller than the sum of its proper divisors (1357472984957).

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

1074987417856 is an frugal number, since it uses more digits than its factorization.

1074987417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 67.

The spelling of 1074987417856 in words is "one trillion, seventy-four billion, nine hundred eighty-seven million, four hundred seventeen thousand, eight hundred fifty-six".