381261791296 has 63 divisors (see below), whose sum is σ = 767049487869. Its totient is φ = 188025197568.

The previous prime is 381261791249. The next prime is 381261791327. The reversal of 381261791296 is 692197162183.

It is a happy number.

The square root of 381261791296 is 617464.

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

It can be written as a sum of positive squares in only one way, i.e., 356695617600 + 24566173696 = 597240^2 + 156736^2 .

It is a super-2 number, since 2×381261791296² (a number of 24 digits) contains 22 as substring.

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, 390236760 + ... + 390237736.

Almost surely, 2^381261791296 is an apocalyptic number.

381261791296 is the 617464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381261791296

381261791296 is an abundant number, since it is smaller than the sum of its proper divisors (385787696573).

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

381261791296 is an frugal number, since it uses more digits than its factorization.

381261791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 1058 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 55.

The spelling of 381261791296 in words is "three hundred eighty-one billion, two hundred sixty-one million, seven hundred ninety-one thousand, two hundred ninety-six".