1038377304064 has 135 divisors (see below), whose sum is σ = 2196986751687. Its totient is φ = 490689036288.

The previous prime is 1038377304037. The next prime is 1038377304089. The reversal of 1038377304064 is 4604037738301.

The square root of 1038377304064 is 1019008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2478227247 + ... + 2478227665.

Almost surely, 2^{1038377304064} is an apocalyptic number.

1038377304064 is the 1019008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038377304064

1038377304064 is an abundant number, since it is smaller than the sum of its proper divisors (1158609447623).

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

1038377304064 is an frugal number, since it uses more digits than its factorization.

1038377304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 1038377304064 in words is "one trillion, thirty-eight billion, three hundred seventy-seven million, three hundred four thousand, sixty-four".