15404738491296 has 2304 divisors, whose sum is σ = 61583859671040. Its totient is φ = 3631045017600.

The previous prime is 15404738491271. The next prime is 15404738491309. The reversal of 15404738491296 is 69219483740451.

15404738491296 is a `hidden beast` number, since 1 + 5 + 40 + 47 + 384 + 91 + 2 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136325119336 + ... + 136325119448.

It is an arithmetic number, because the mean of its divisors is an integer number (26729105760).

It is a 1-persistent number, because it is pandigital, but 2⋅15404738491296 = 30809476982592 is not.

Almost surely, 2^{15404738491296} is an apocalyptic number.

15404738491296 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 15404738491296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30791929835520).

15404738491296 is an abundant number, since it is smaller than the sum of its proper divisors (46179121179744).

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

15404738491296 is a wasteful number, since it uses less digits than its factorization.

15404738491296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 15404738491296 in words is "fifteen trillion, four hundred four billion, seven hundred thirty-eight million, four hundred ninety-one thousand, two hundred ninety-six".