7146936749808 has 240 divisors, whose sum is σ = 21228227690400. Its totient is φ = 2302116940800.

The previous prime is 7146936749753. The next prime is 7146936749831. The reversal of 7146936749808 is 8089476396417.

7146936749808 is a `hidden beast` number, since 7 + 1 + 46 + 93 + 6 + 7 + 498 + 0 + 8 = 666.

It is a super-2 number, since 2×7146936749808² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 294330628 + ... + 294354908.

It is an arithmetic number, because the mean of its divisors is an integer number (88450948710).

Almost surely, 2^{7146936749808} 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 7146936749808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614113845200).

7146936749808 is an abundant number, since it is smaller than the sum of its proper divisors (14081290940592).

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

7146936749808 is a wasteful number, since it uses less digits than its factorization.

7146936749808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25026 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 7146936749808 in words is "seven trillion, one hundred forty-six billion, nine hundred thirty-six million, seven hundred forty-nine thousand, eight hundred eight".