3891180248514 has 256 divisors, whose sum is σ = 9578944488960. Its totient is φ = 1163563315200.

The previous prime is 3891180248471. The next prime is 3891180248519. The reversal of 3891180248514 is 4158420811983.

3891180248514 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 1 + 80 + 2 + 48 + 514 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3891180248519) 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 127 ways as a sum of consecutive naturals, for example, 1486884534 + ... + 1486887150.

It is an arithmetic number, because the mean of its divisors is an integer number (37417751910).

Almost surely, 2^{3891180248514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3891180248514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789472244480).

3891180248514 is an abundant number, since it is smaller than the sum of its proper divisors (5687764240446).

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

3891180248514 is a wasteful number, since it uses less digits than its factorization.

3891180248514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 3891180248514 in words is "three trillion, eight hundred ninety-one billion, one hundred eighty million, two hundred forty-eight thousand, five hundred fourteen".