1177345595664 has 640 divisors, whose sum is σ = 4041169920000. Its totient is φ = 327935333376.

The previous prime is 1177345595651. The next prime is 1177345595693. The reversal of 1177345595664 is 4665955437711.

1177345595664 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 34 + 5 + 595 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1177345595664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1197706117 + ... + 1197707099.

It is an arithmetic number, because the mean of its divisors is an integer number (6314328000).

Almost surely, 2^{1177345595664} is an apocalyptic number.

1177345595664 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 1177345595664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020584960000).

1177345595664 is an abundant number, since it is smaller than the sum of its proper divisors (2863824324336).

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

1177345595664 is a wasteful number, since it uses less digits than its factorization.

1177345595664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1191 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 1177345595664 in words is "one trillion, one hundred seventy-seven billion, three hundred forty-five million, five hundred ninety-five thousand, six hundred sixty-four".