1172132319456 has 840 divisors, whose sum is σ = 4277175132384. Its totient is φ = 314939197440.

The previous prime is 1172132319443. The next prime is 1172132319461. The reversal of 1172132319456 is 6549132312711.

1172132319456 is a `hidden beast` number, since 1 + 172 + 1 + 3 + 23 + 1 + 9 + 456 = 666.

It is a super-2 number, since 2×1172132319456² (a number of 25 digits) contains 22 as substring.

Its product of digits (272160) is a multiple of the sum of its prime divisors (1260).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 952178361 + ... + 952179591.

Almost surely, 2^{1172132319456} is an apocalyptic number.

1172132319456 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 1172132319456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138587566192).

1172132319456 is an abundant number, since it is smaller than the sum of its proper divisors (3105042812928).

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

1172132319456 is an frugal number, since it uses more digits than its factorization.

1172132319456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1260 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 1172132319456 in words is "one trillion, one hundred seventy-two billion, one hundred thirty-two million, three hundred nineteen thousand, four hundred fifty-six".