1038150991872 has 816 divisors, whose sum is σ = 3389307317760. Its totient is φ = 316466528256.

The previous prime is 1038150991861. The next prime is 1038150991901. The reversal of 1038150991872 is 2781990518301.

1038150991872 is a `hidden beast` number, since 10 + 38 + 1 + 509 + 91 + 8 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14221246428 + ... + 14221246500.

Almost surely, 2^{1038150991872} is an apocalyptic number.

1038150991872 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 1038150991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694653658880).

1038150991872 is an abundant number, since it is smaller than the sum of its proper divisors (2351156325888).

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

1038150991872 is an frugal number, since it uses more digits than its factorization.

1038150991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 1038150991872 in words is "one trillion, thirty-eight billion, one hundred fifty million, nine hundred ninety-one thousand, eight hundred seventy-two".