12457689149088 has 864 divisors, whose sum is σ = 41643442189440. Its totient is φ = 3513725816832.

The previous prime is 12457689149057. The next prime is 12457689149117. The reversal of 12457689149088 is 88094198675421.

12457689149088 is a `hidden beast` number, since 1 + 2 + 4 + 57 + 6 + 8 + 9 + 1 + 490 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98092040481 + ... + 98092040607.

It is an arithmetic number, because the mean of its divisors is an integer number (48198428460).

Almost surely, 2^{12457689149088} is an apocalyptic number.

12457689149088 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 12457689149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821721094720).

12457689149088 is an abundant number, since it is smaller than the sum of its proper divisors (29185753040352).

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

12457689149088 is a wasteful number, since it uses less digits than its factorization.

12457689149088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 12457689149088 in words is "twelve trillion, four hundred fifty-seven billion, six hundred eighty-nine million, one hundred forty-nine thousand, eighty-eight".