1038167095812 has 288 divisors, whose sum is σ = 3136248170496. Its totient is φ = 264244377600.

The previous prime is 1038167095799. The next prime is 1038167095829. The reversal of 1038167095812 is 2185907618301.

1038167095812 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76684308 + ... + 76697844.

It is an arithmetic number, because the mean of its divisors is an integer number (10889750592).

Almost surely, 2^{1038167095812} is an apocalyptic number.

1038167095812 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 1038167095812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568124085248).

1038167095812 is an abundant number, since it is smaller than the sum of its proper divisors (2098081074684).

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

1038167095812 is a wasteful number, since it uses less digits than its factorization.

1038167095812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 1038167095812 in words is "one trillion, thirty-eight billion, one hundred sixty-seven million, ninety-five thousand, eight hundred twelve".