101861481663 has 32 divisors (see below), whose sum is σ = 151317331200. Its totient is φ = 67722788448.

The previous prime is 101861481613. The next prime is 101861481691. The reversal of 101861481663 is 366184168101.

101861481663 is a `hidden beast` number, since 1 + 0 + 18 + 614 + 8 + 16 + 6 + 3 = 666.

It is not a de Polignac number, because 101861481663 - 2¹⁸ = 101861219519 is a prime.

It is a super-2 number, since 2×101861481663² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101861481613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16498045 + ... + 16504217.

It is an arithmetic number, because the mean of its divisors is an integer number (4728666600).

Almost surely, 2^101861481663 is an apocalyptic number.

101861481663 is a deficient number, since it is larger than the sum of its proper divisors (49455849537).

101861481663 is an equidigital number, since it uses as much as digits as its factorization.

101861481663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 101861481663 in words is "one hundred one billion, eight hundred sixty-one million, four hundred eighty-one thousand, six hundred sixty-three".