117770418475264 has 243 divisors, whose sum is σ = 245449252692847. Its totient is φ = 56396754534400.

The previous prime is 117770418475201. The next prime is 117770418475291. The reversal of 117770418475264 is 462574814077711.

It is a happy number.

The square root of 117770418475264 is 10852208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70190884000000 + 47579534475264 = 8378000^2 + 6897792^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117770418475196 and 117770418475205.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 505452439692 + ... + 505452439924.

Almost surely, 2^{117770418475264} is an apocalyptic number.

117770418475264 is the 10852208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117770418475264

117770418475264 is an abundant number, since it is smaller than the sum of its proper divisors (127678834217583).

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

117770418475264 is an frugal number, since it uses more digits than its factorization.

117770418475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 64.

117770418475264 divided by its sum of digits (64) gives a square (1840162788676 = 1356526²).

The spelling of 117770418475264 in words is "one hundred seventeen trillion, seven hundred seventy billion, four hundred eighteen million, four hundred seventy-five thousand, two hundred sixty-four".