378312335041 has 9 divisors (see below), whose sum is σ = 390929327139. Its totient is φ = 366090259200.

The previous prime is 378312335029. The next prime is 378312335053. The reversal of 378312335041 is 140533213873.

The square root of 378312335041 is 615071.

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

It is an interprime number because it is at equal distance from previous prime (378312335029) and next prime (378312335053).

It can be written as a sum of positive squares in only one way, i.e., 3082581441 + 375229753600 = 55521^2 + 612560^2 .

It is not a de Polignac number, because 378312335041 - 2⁷ = 378312334913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 378312334985 and 378312335003.

It is not an unprimeable number, because it can be changed into a prime (378312335081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19057281 + ... + 19077121.

Almost surely, 2^378312335041 is an apocalyptic number.

378312335041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

378312335041 is the 615071-st square number.

378312335041 is the 307536-th centered octagonal number.

It is an amenable number.

378312335041 is a deficient number, since it is larger than the sum of its proper divisors (12616992098).

378312335041 is an frugal number, since it uses more digits than its factorization.

378312335041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39744 (or 19872 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 378312335041 in words is "three hundred seventy-eight billion, three hundred twelve million, three hundred thirty-five thousand, forty-one".