381157966949760 has 4608 divisors, whose sum is σ = 1865312098191360. Its totient is φ = 72365919436800.

The previous prime is 381157966949759. The next prime is 381157966949789. The reversal of 381157966949760 is 67949669751183.

It is a happy number.

381157966949760 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 5 + 7 + 9 + 6 + 69 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 381157966949760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 176380363080 + ... + 176380365240.

It is an arithmetic number, because the mean of its divisors is an integer number (404798632420).

Almost surely, 2^{381157966949760} is an apocalyptic number.

381157966949760 is a gapful number since it is divisible by the number (30) 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 381157966949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932656049095680).

381157966949760 is an abundant number, since it is smaller than the sum of its proper divisors (1484154131241600).

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

381157966949760 is a wasteful number, since it uses less digits than its factorization.

381157966949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 381157966949760 in words is "three hundred eighty-one trillion, one hundred fifty-seven billion, nine hundred sixty-six million, nine hundred forty-nine thousand, seven hundred sixty".