101246644352 has 96 divisors (see below), whose sum is σ = 234846122940. Its totient is φ = 43352064000.

The previous prime is 101246644351. The next prime is 101246644357. The reversal of 101246644352 is 253446642101.

It can be written as a sum of positive squares in 2 ways, for example, as 71323180096 + 29923464256 = 267064^2 + 172984^2 .

It is not an unprimeable number, because it can be changed into a prime (101246644351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7525952 + ... + 7539392.

Almost surely, 2^101246644352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101246644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117423061470).

101246644352 is an abundant number, since it is smaller than the sum of its proper divisors (133599478588).

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

101246644352 is a wasteful number, since it uses less digits than its factorization.

101246644352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670 (or 14651 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 101246644352 in words is "one hundred one billion, two hundred forty-six million, six hundred forty-four thousand, three hundred fifty-two".