1123162951680 has 1456 divisors, whose sum is σ = 5043342075264. Its totient is φ = 233145630720.

The previous prime is 1123162951609. The next prime is 1123162951721. The reversal of 1123162951680 is 861592613211.

It is a happy number.

1123162951680 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 629 + 5 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×1123162951680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1149603352 + ... + 1149604328.

Almost surely, 2^{1123162951680} is an apocalyptic number.

1123162951680 is a gapful number since it is divisible by the number (10) 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 1123162951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521671037632).

1123162951680 is an abundant number, since it is smaller than the sum of its proper divisors (3920179123584).

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

1123162951680 is an frugal number, since it uses more digits than its factorization.

1123162951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1123162951680 in words is "one trillion, one hundred twenty-three billion, one hundred sixty-two million, nine hundred fifty-one thousand, six hundred eighty".