1516337330112 has 840 divisors, whose sum is σ = 5331992239728. Its totient is φ = 424149073920.

The previous prime is 1516337330093. The next prime is 1516337330171. The reversal of 1516337330112 is 2110337336151.

1516337330112 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 337 + 3 + 301 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 565163523 + ... + 565166205.

Almost surely, 2^{1516337330112} is an apocalyptic number.

1516337330112 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 1516337330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665996119864).

1516337330112 is an abundant number, since it is smaller than the sum of its proper divisors (3815654909616).

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

1516337330112 is a wasteful number, since it uses less digits than its factorization.

1516337330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 1516337330112 in words is "one trillion, five hundred sixteen billion, three hundred thirty-seven million, three hundred thirty thousand, one hundred twelve".