1038473913600 has 756 divisors, whose sum is σ = 4080821490396. Its totient is φ = 260616683520.

The previous prime is 1038473913563. The next prime is 1038473913601. The reversal of 1038473913600 is 63193748301.

1038473913600 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 4 + 7 + 39 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 58944070656 + 979529842944 = 242784^2 + 989712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038473913601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79308654 + ... + 79321746.

Almost surely, 2^{1038473913600} is an apocalyptic number.

1038473913600 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 1038473913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040410745198).

1038473913600 is an abundant number, since it is smaller than the sum of its proper divisors (3042347576796).

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

1038473913600 is an equidigital number, since it uses as much as digits as its factorization.

1038473913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1038473913600 in words is "one trillion, thirty-eight billion, four hundred seventy-three million, nine hundred thirteen thousand, six hundred".