3148512486336 has 672 divisors, whose sum is σ = 11389798586880. Its totient is φ = 848637554688.

The previous prime is 3148512486293. The next prime is 3148512486337. The reversal of 3148512486336 is 6336842158413.

3148512486336 is a `hidden beast` number, since 3 + 1 + 48 + 512 + 4 + 86 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3148512486336² (a number of 26 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 not an unprimeable number, because it can be changed into a prime (3148512486337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142153215 + ... + 142175361.

It is an arithmetic number, because the mean of its divisors is an integer number (16949105040).

Almost surely, 2^{3148512486336} is an apocalyptic number.

3148512486336 is a gapful number since it is divisible by the number (36) 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 3148512486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694899293440).

3148512486336 is an abundant number, since it is smaller than the sum of its proper divisors (8241286100544).

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

3148512486336 is a wasteful number, since it uses less digits than its factorization.

3148512486336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22278 (or 22255 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 3148512486336 in words is "three trillion, one hundred forty-eight billion, five hundred twelve million, four hundred eighty-six thousand, three hundred thirty-six".