3113418228480 has 2160 divisors, whose sum is σ = 13666198258944. Its totient is φ = 673876869120.

The previous prime is 3113418228467. The next prime is 3113418228493. The reversal of 3113418228480 is 848228143113.

3113418228480 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 418 + 228 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3113418228467) and next prime (3113418228493).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×3113418228480² (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 8346965574 + ... + 8346965946.

Almost surely, 2^{3113418228480} is an apocalyptic number.

3113418228480 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 3113418228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833099129472).

3113418228480 is an abundant number, since it is smaller than the sum of its proper divisors (10552780030464).

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

3113418228480 is a wasteful number, since it uses less digits than its factorization.

3113418228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 3113418228480 in words is "three trillion, one hundred thirteen billion, four hundred eighteen million, two hundred twenty-eight thousand, four hundred eighty".