3114117826560 has 1536 divisors, whose sum is σ = 12962267136000. Its totient is φ = 702303436800.

The previous prime is 3114117826517. The next prime is 3114117826597. The reversal of 3114117826560 is 656287114113.

3114117826560 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 1 + 1 + 7 + 82 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2117006625 + ... + 2117008095.

It is an arithmetic number, because the mean of its divisors is an integer number (8438976000).

Almost surely, 2^{3114117826560} is an apocalyptic number.

3114117826560 is a gapful number since it is divisible by the number (30) 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 3114117826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481133568000).

3114117826560 is an abundant number, since it is smaller than the sum of its proper divisors (9848149309440).

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

3114117826560 is a wasteful number, since it uses less digits than its factorization.

3114117826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3114117826560 in words is "three trillion, one hundred fourteen billion, one hundred seventeen million, eight hundred twenty-six thousand, five hundred sixty".