15105223047552 has 192 divisors, whose sum is σ = 45040769625600. Its totient is φ = 4479949450240.

The previous prime is 15105223047529. The next prime is 15105223047647. The reversal of 15105223047552 is 25574032250151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×15105223047552² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1274652 + ... + 5642267.

It is an arithmetic number, because the mean of its divisors is an integer number (234587341800).

Almost surely, 2^{15105223047552} is an apocalyptic number.

15105223047552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15105223047552 is an abundant number, since it is smaller than the sum of its proper divisors (29935546578048).

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

15105223047552 is a wasteful number, since it uses less digits than its factorization.

15105223047552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917005 (or 6916982 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 15105223047552 in words is "fifteen trillion, one hundred five billion, two hundred twenty-three million, forty-seven thousand, five hundred fifty-two".