1217075134464 has 420 divisors, whose sum is σ = 4171080245584. Its totient is φ = 347711864832.

The previous prime is 1217075134369. The next prime is 1217075134477. The reversal of 1217075134464 is 4644315707121.

1217075134464 is a `hidden beast` number, since 1 + 2 + 1 + 70 + 7 + 513 + 4 + 4 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83600274 + ... + 83614830.

Almost surely, 2^{1217075134464} is an apocalyptic number.

1217075134464 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 1217075134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085540122792).

1217075134464 is an abundant number, since it is smaller than the sum of its proper divisors (2954005111120).

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

1217075134464 is an frugal number, since it uses more digits than its factorization.

1217075134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14610 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1217075134464 in words is "one trillion, two hundred seventeen billion, seventy-five million, one hundred thirty-four thousand, four hundred sixty-four".