101349584640 has 864 divisors, whose sum is σ = 392554745856. Its totient is φ = 24962826240.

The previous prime is 101349584621. The next prime is 101349584647. The reversal of 101349584640 is 46485943101.

101349584640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 9 + 584 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101349584647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221771292 + ... + 221771748.

Almost surely, 2^101349584640 is an apocalyptic number.

101349584640 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 101349584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196277372928).

101349584640 is an abundant number, since it is smaller than the sum of its proper divisors (291205161216).

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

101349584640 is an equidigital number, since it uses as much as digits as its factorization.

101349584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 101349584640 in words is "one hundred one billion, three hundred forty-nine million, five hundred eighty-four thousand, six hundred forty".