15012997278048 has 2880 divisors, whose sum is σ = 62439439265280. Its totient is φ = 3482254540800.

The previous prime is 15012997278017. The next prime is 15012997278109. The reversal of 15012997278048 is 84087279921051.

15012997278048 is a `hidden beast` number, since 1 + 501 + 2 + 9 + 9 + 7 + 2 + 7 + 80 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 48902271111 + ... + 48902271417.

It is an arithmetic number, because the mean of its divisors is an integer number (21680360856).

Almost surely, 2^{15012997278048} is an apocalyptic number.

15012997278048 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 15012997278048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31219719632640).

15012997278048 is an abundant number, since it is smaller than the sum of its proper divisors (47426441987232).

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

15012997278048 is a wasteful number, since it uses less digits than its factorization.

15012997278048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 15012997278048 in words is "fifteen trillion, twelve billion, nine hundred ninety-seven million, two hundred seventy-eight thousand, forty-eight".