1506044712172 has 192 divisors, whose sum is σ = 3568315161600. Its totient is φ = 537114885120.

The previous prime is 1506044712169. The next prime is 1506044712239. The reversal of 1506044712172 is 2712174406051.

It is a super-2 number, since 2×1506044712172² (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, 290235354 + ... + 290240542.

It is an arithmetic number, because the mean of its divisors is an integer number (18584974800).

Almost surely, 2^{1506044712172} 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 1506044712172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784157580800).

1506044712172 is an abundant number, since it is smaller than the sum of its proper divisors (2062270449428).

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

1506044712172 is a wasteful number, since it uses less digits than its factorization.

1506044712172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 1506044712172 in words is "one trillion, five hundred six billion, forty-four million, seven hundred twelve thousand, one hundred seventy-two".