101563946640 has 240 divisors, whose sum is σ = 374255389872. Its totient is φ = 24528531456.

The previous prime is 101563946599. The next prime is 101563946699. The reversal of 101563946640 is 46649365101.

101563946640 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 639 + 4 + 6 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16945790976 + 84618155664 = 130176^2 + 290892^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393714 + ... + 598446.

Almost surely, 2^101563946640 is an apocalyptic number.

101563946640 is a gapful number since it is divisible by the number (10) 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 101563946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187127694936).

101563946640 is an abundant number, since it is smaller than the sum of its proper divisors (272691443232).

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

101563946640 is a wasteful number, since it uses less digits than its factorization.

101563946640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204818 (or 204809 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 101563946640 in words is "one hundred one billion, five hundred sixty-three million, nine hundred forty-six thousand, six hundred forty".