12198750415488 has 2048 divisors, whose sum is σ = 48446899200000. Its totient is φ = 2993568399360.

The previous prime is 12198750415463. The next prime is 12198750415493. The reversal of 12198750415488 is 88451405789121.

12198750415488 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 87 + 5 + 0 + 4 + 1 + 548 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17860541995 + ... + 17860542677.

It is an arithmetic number, because the mean of its divisors is an integer number (23655712500).

Almost surely, 2^{12198750415488} is an apocalyptic number.

12198750415488 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 12198750415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223449600000).

12198750415488 is an abundant number, since it is smaller than the sum of its proper divisors (36248148784512).

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

12198750415488 is a wasteful number, since it uses less digits than its factorization.

12198750415488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 12198750415488 in words is "twelve trillion, one hundred ninety-eight billion, seven hundred fifty million, four hundred fifteen thousand, four hundred eighty-eight".