1038977232048 has 200 divisors, whose sum is σ = 3439105970432. Its totient is φ = 296641740672.

The previous prime is 1038977231989. The next prime is 1038977232067. The reversal of 1038977232048 is 8402327798301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1038977231985 and 1038977232003.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13087611 + ... + 13166757.

Almost surely, 2^{1038977232048} is an apocalyptic number.

1038977232048 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 1038977232048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719552985216).

1038977232048 is an abundant number, since it is smaller than the sum of its proper divisors (2400128738384).

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

1038977232048 is a wasteful number, since it uses less digits than its factorization.

1038977232048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80621 (or 80606 counting only the distinct ones).

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

The spelling of 1038977232048 in words is "one trillion, thirty-eight billion, nine hundred seventy-seven million, two hundred thirty-two thousand, forty-eight".