15121135427456 has 128 divisors (see below), whose sum is σ = 33180911385600. Its totient is φ = 6836634316800.

The previous prime is 15121135427441. The next prime is 15121135427459. The reversal of 15121135427456 is 65472453112151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 15121135427456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15121135427459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4129871 + ... + 6877361.

It is an arithmetic number, because the mean of its divisors is an integer number (259225870200).

Almost surely, 2^{15121135427456} is an apocalyptic number.

15121135427456 is a gapful number since it is divisible by the number (16) 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 15121135427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590455692800).

15121135427456 is an abundant number, since it is smaller than the sum of its proper divisors (18059775958144).

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

15121135427456 is a wasteful number, since it uses less digits than its factorization.

15121135427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747628 (or 2747616 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 47.

The spelling of 15121135427456 in words is "fifteen trillion, one hundred twenty-one billion, one hundred thirty-five million, four hundred twenty-seven thousand, four hundred fifty-six".