1172964409344 has 1024 divisors, whose sum is σ = 4534308979200. Its totient is φ = 290816262144.

The previous prime is 1172964409333. The next prime is 1172964409349. The reversal of 1172964409344 is 4439044692711.

It is a happy number.

1172964409344 is a `hidden beast` number, since 1 + 1 + 7 + 296 + 4 + 4 + 0 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1172964409349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1368686164 + ... + 1368687020.

Almost surely, 2^{1172964409344} is an apocalyptic number.

1172964409344 is a gapful number since it is divisible by the number (14) 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 1172964409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267154489600).

1172964409344 is an abundant number, since it is smaller than the sum of its proper divisors (3361344569856).

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

1172964409344 is an equidigital number, since it uses as much as digits as its factorization.

1172964409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1172964409344 in words is "one trillion, one hundred seventy-two billion, nine hundred sixty-four million, four hundred nine thousand, three hundred forty-four".