15243812227072 has 1152 divisors, whose sum is σ = 40054462156800. Its totient is φ = 5738822369280.

The previous prime is 15243812227057. The next prime is 15243812227081. The reversal of 15243812227072 is 27072221834251.

It is a super-2 number, since 2×15243812227072² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 120030017473 + ... + 120030017599.

It is an arithmetic number, because the mean of its divisors is an integer number (34769498400).

Almost surely, 2^{15243812227072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15243812227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027231078400).

15243812227072 is an abundant number, since it is smaller than the sum of its proper divisors (24810649929728).

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

15243812227072 is a wasteful number, since it uses less digits than its factorization.

15243812227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 15243812227072 in words is "fifteen trillion, two hundred forty-three billion, eight hundred twelve million, two hundred twenty-seven thousand, seventy-two".