1518198954048 has 504 divisors, whose sum is σ = 5366879970816. Its totient is φ = 401509785600.

The previous prime is 1518198954047. The next prime is 1518198954049. The reversal of 1518198954048 is 8404598918151.

1518198954048 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 1 + 9 + 89 + 540 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1518198954047) and next prime (1518198954049).

It is a tau number, because it is divible by the number of its divisors (504).

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 (1518198954047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66109288 + ... + 66132248.

Almost surely, 2^{1518198954048} is an apocalyptic number.

1518198954048 is a gapful number since it is divisible by the number (18) 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 1518198954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683439985408).

1518198954048 is an abundant number, since it is smaller than the sum of its proper divisors (3848681016768).

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

1518198954048 is a wasteful number, since it uses less digits than its factorization.

1518198954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23063 (or 23027 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 1518198954048 in words is "one trillion, five hundred eighteen billion, one hundred ninety-eight million, nine hundred fifty-four thousand, forty-eight".