4149888515136 has 1008 divisors, whose sum is σ = 15414757982208. Its totient is φ = 1043875123200.

The previous prime is 4149888515119. The next prime is 4149888515137. The reversal of 4149888515136 is 6315158889414.

4149888515136 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 8 + 88 + 515 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4149888515137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1499777625 + ... + 1499780391.

Almost surely, 2^{4149888515136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149888515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707378991104).

4149888515136 is an abundant number, since it is smaller than the sum of its proper divisors (11264869467072).

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

4149888515136 is a wasteful number, since it uses less digits than its factorization.

4149888515136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2894 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 4149888515136 in words is "four trillion, one hundred forty-nine billion, eight hundred eighty-eight million, five hundred fifteen thousand, one hundred thirty-six".