1015433481216 has 704 divisors, whose sum is σ = 3728508641280. Its totient is φ = 237419888640.

The previous prime is 1015433481187. The next prime is 1015433481253. The reversal of 1015433481216 is 6121843345101.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1015433481216² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92483215 + ... + 92494193.

Almost surely, 2^{1015433481216} is an apocalyptic number.

1015433481216 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 1015433481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864254320640).

1015433481216 is an abundant number, since it is smaller than the sum of its proper divisors (2713075160064).

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

1015433481216 is a wasteful number, since it uses less digits than its factorization.

1015433481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11060 (or 11042 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

It can be divided in two parts, 10154334 and 81216, that added together give a triangular number (10235550 = T₄₅₂₄).

The spelling of 1015433481216 in words is "one trillion, fifteen billion, four hundred thirty-three million, four hundred eighty-one thousand, two hundred sixteen".