15027212648448 has 2280 divisors, whose sum is σ = 61963903474704. Its totient is φ = 3567255552000.

The previous prime is 15027212648423. The next prime is 15027212648507. The reversal of 15027212648448 is 84484621272051.

15027212648448 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 72 + 126 + 4 + 8 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15027212648394 and 15027212648403.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148784283598 + ... + 148784283698.

Almost surely, 2^{15027212648448} is an apocalyptic number.

15027212648448 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 15027212648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981951737352).

15027212648448 is an abundant number, since it is smaller than the sum of its proper divisors (46936690826256).

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

15027212648448 is an equidigital number, since it uses as much as digits as its factorization.

15027212648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 15027212648448 in words is "fifteen trillion, twenty-seven billion, two hundred twelve million, six hundred forty-eight thousand, four hundred forty-eight".