15044894097408 has 256 divisors, whose sum is σ = 50944916736000. Its totient is φ = 4298539401216.

The previous prime is 15044894097349. The next prime is 15044894097439. The reversal of 15044894097408 is 80479049844051.

15044894097408 is a `hidden beast` number, since 1 + 50 + 4 + 4 + 8 + 94 + 0 + 97 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4978513 + ... + 7407791.

It is an arithmetic number, because the mean of its divisors is an integer number (199003581000).

Almost surely, 2^{15044894097408} is an apocalyptic number.

15044894097408 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 15044894097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472458368000).

15044894097408 is an abundant number, since it is smaller than the sum of its proper divisors (35900022638592).

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

15044894097408 is an frugal number, since it uses more digits than its factorization.

15044894097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429325 (or 2429291 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 15044894097408 in words is "fifteen trillion, forty-four billion, eight hundred ninety-four million, ninety-seven thousand, four hundred eight".