12954098259648 has 2352 divisors, whose sum is σ = 50411393427456. Its totient is φ = 3228087582720.

The previous prime is 12954098259577. The next prime is 12954098259689. The reversal of 12954098259648 is 84695289045921.

12954098259648 is a `hidden beast` number, since 1 + 2 + 95 + 409 + 8 + 2 + 5 + 96 + 48 = 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 335 ways as a sum of consecutive naturals, for example, 114638037640 + ... + 114638037752.

Almost surely, 2^{12954098259648} is an apocalyptic number.

12954098259648 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 12954098259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205696713728).

12954098259648 is an abundant number, since it is smaller than the sum of its proper divisors (37457295167808).

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

12954098259648 is a wasteful number, since it uses less digits than its factorization.

12954098259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 12954098259648 in words is "twelve trillion, nine hundred fifty-four billion, ninety-eight million, two hundred fifty-nine thousand, six hundred forty-eight".