1072379238656 has 108 divisors (see below), whose sum is σ = 2353674227100. Its totient is φ = 487275909120.

The previous prime is 1072379238649. The next prime is 1072379238691. The reversal of 1072379238656 is 6568329732701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 652889856256 + 419489382400 = 808016^2 + 647680^2 .

It is a super-2 number, since 2×1072379238656² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072379238595 and 1072379238604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148340450 + ... + 148347678.

Almost surely, 2^{1072379238656} is an apocalyptic number.

1072379238656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072379238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176837113550).

1072379238656 is an abundant number, since it is smaller than the sum of its proper divisors (1281294988444).

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

1072379238656 is an equidigital number, since it uses as much as digits as its factorization.

1072379238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12056 (or 12031 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 59.

The spelling of 1072379238656 in words is "one trillion, seventy-two billion, three hundred seventy-nine million, two hundred thirty-eight thousand, six hundred fifty-six".