1215314904672 has 864 divisors, whose sum is σ = 4163555934720. Its totient is φ = 347755161600.

The previous prime is 1215314904641. The next prime is 1215314904691. The reversal of 1215314904672 is 2764094135121.

1215314904672 is a `hidden beast` number, since 1 + 2 + 1 + 53 + 1 + 490 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×1215314904672³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1926013797 + ... + 1926014427.

It is an arithmetic number, because the mean of its divisors is an integer number (4818930480).

Almost surely, 2^{1215314904672} is an apocalyptic number.

1215314904672 is a gapful number since it is divisible by the number (12) 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 1215314904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081777967360).

1215314904672 is an abundant number, since it is smaller than the sum of its proper divisors (2948241030048).

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

1215314904672 is a wasteful number, since it uses less digits than its factorization.

1215314904672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1215314904672 in words is "one trillion, two hundred fifteen billion, three hundred fourteen million, nine hundred four thousand, six hundred seventy-two".