38811202061643 has 256 divisors, whose sum is σ = 69490436751360. Its totient is φ = 21134131200000.

The previous prime is 38811202061623. The next prime is 38811202061663. The reversal of 38811202061643 is 34616020211883.

38811202061643 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 1 + 2 + 0 + 20 + 616 + 4 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (38811202061623) and next prime (38811202061663).

It is not a de Polignac number, because 38811202061643 - 2⁹ = 38811202061131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38811202061623) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4442161371 + ... + 4442170107.

It is an arithmetic number, because the mean of its divisors is an integer number (271447018560).

Almost surely, 2^{38811202061643} is an apocalyptic number.

38811202061643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38811202061643 is a deficient number, since it is larger than the sum of its proper divisors (30679234689717).

38811202061643 is a wasteful number, since it uses less digits than its factorization.

38811202061643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38811202061643 in words is "thirty-eight trillion, eight hundred eleven billion, two hundred two million, sixty-one thousand, six hundred forty-three".