140845886949600 has 1728 divisors, whose sum is σ = 644962169779200. Its totient is φ = 28166826885120.

The previous prime is 140845886949583. The next prime is 140845886949613. The reversal of 140845886949600 is 6949688548041.

140845886949600 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 4 + 5 + 8 + 8 + 6 + 9 + 4 + 9 + 600 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 638608944 + ... + 638829456.

It is an arithmetic number, because the mean of its divisors is an integer number (373241996400).

Almost surely, 2^{140845886949600} is an apocalyptic number.

140845886949600 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 140845886949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322481084889600).

140845886949600 is an abundant number, since it is smaller than the sum of its proper divisors (504116282829600).

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

140845886949600 is a wasteful number, since it uses less digits than its factorization.

140845886949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220617 (or 220601 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 140845886949600 in words is "one hundred forty trillion, eight hundred forty-five billion, eight hundred eighty-six million, nine hundred forty-nine thousand, six hundred".