1506112114500 has 576 divisors, whose sum is σ = 5626440368640. Its totient is φ = 331841664000.

The previous prime is 1506112114477. The next prime is 1506112114511. The reversal of 1506112114500 is 54112116051.

1506112114500 is a `hidden beast` number, since 1 + 5 + 0 + 611 + 2 + 1 + 1 + 45 + 0 + 0 = 666.

It is a super-2 number, since 2×1506112114500² (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 191 ways as a sum of consecutive naturals, for example, 865083630 + ... + 865085370.

It is an arithmetic number, because the mean of its divisors is an integer number (9768125640).

Almost surely, 2^{1506112114500} is an apocalyptic number.

1506112114500 is a gapful number since it is divisible by the number (10) 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 1506112114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813220184320).

1506112114500 is an abundant number, since it is smaller than the sum of its proper divisors (4120328254140).

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

1506112114500 is a wasteful number, since it uses less digits than its factorization.

1506112114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 1506112114500 in words is "one trillion, five hundred six billion, one hundred twelve million, one hundred fourteen thousand, five hundred".