1038931746048 has 432 divisors, whose sum is σ = 3486692809600. Its totient is φ = 291372318720.

The previous prime is 1038931746001. The next prime is 1038931746103. The reversal of 1038931746048 is 8406471398301.

1038931746048 is a `hidden beast` number, since 10 + 3 + 8 + 9 + 3 + 17 + 4 + 604 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1038931745985 and 1038931746003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727033398 + ... + 727034826.

Almost surely, 2^{1038931746048} is an apocalyptic number.

1038931746048 is a gapful number since it is divisible by the number (18) 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 1038931746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743346404800).

1038931746048 is an abundant number, since it is smaller than the sum of its proper divisors (2447761063552).

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

1038931746048 is a wasteful number, since it uses less digits than its factorization.

1038931746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1038931746048 in words is "one trillion, thirty-eight billion, nine hundred thirty-one million, seven hundred forty-six thousand, forty-eight".