11347517064870 has 448 divisors, whose sum is σ = 35263795958784. Its totient is φ = 2574165484800.

The previous prime is 11347517064869. The next prime is 11347517064899. The reversal of 11347517064870 is 7846071574311.

11347517064870 is a `hidden beast` number, since 1 + 1 + 3 + 47 + 51 + 70 + 6 + 487 + 0 = 666.

It is a super-2 number, since 2×11347517064870² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9278427079 + ... + 9278428301.

Almost surely, 2^{11347517064870} is an apocalyptic number.

11347517064870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11347517064870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631897979392).

11347517064870 is an abundant number, since it is smaller than the sum of its proper divisors (23916278893914).

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

11347517064870 is a wasteful number, since it uses less digits than its factorization.

11347517064870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 11347517064870 in words is "eleven trillion, three hundred forty-seven billion, five hundred seventeen million, sixty-four thousand, eight hundred seventy".