1036447872912 has 960 divisors, whose sum is σ = 3514975027200. Its totient is φ = 293462507520.

The previous prime is 1036447872899. The next prime is 1036447872919. The reversal of 1036447872912 is 2192787446301.

1036447872912 is a `hidden beast` number, since 1 + 0 + 36 + 447 + 87 + 2 + 91 + 2 = 666.

1036447872912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1036447872919) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3075512808 + ... + 3075513144.

It is an arithmetic number, because the mean of its divisors is an integer number (3661432320).

Almost surely, 2^{1036447872912} is an apocalyptic number.

1036447872912 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 1036447872912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757487513600).

1036447872912 is an abundant number, since it is smaller than the sum of its proper divisors (2478527154288).

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

1036447872912 is a wasteful number, since it uses less digits than its factorization.

1036447872912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1036447872912 in words is "one trillion, thirty-six billion, four hundred forty-seven million, eight hundred seventy-two thousand, nine hundred twelve".