101348581847040 has 2912 divisors, whose sum is σ = 435150692923392. Its totient is φ = 22359048192000.

The previous prime is 101348581847021. The next prime is 101348581847041. The reversal of 101348581847040 is 40748185843101.

It is a happy number.

101348581847040 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 485 + 81 + 8 + 47 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101348581847041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 86548745655 + ... + 86548746825.

Almost surely, 2^{101348581847040} is an apocalyptic number.

101348581847040 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 101348581847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217575346461696).

101348581847040 is an abundant number, since it is smaller than the sum of its proper divisors (333802111076352).

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

101348581847040 is a wasteful number, since it uses less digits than its factorization.

101348581847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 101348581847040 in words is "one hundred one trillion, three hundred forty-eight billion, five hundred eighty-one million, eight hundred forty-seven thousand, forty".