14070845801376 has 768 divisors, whose sum is σ = 51339255045120. Its totient is φ = 3696122658816.

The previous prime is 14070845801357. The next prime is 14070845801381. The reversal of 14070845801376 is 67310854807041.

14070845801376 is a `hidden beast` number, since 1 + 40 + 7 + 0 + 8 + 4 + 580 + 13 + 7 + 6 = 666.

It is a super-2 number, since 2×14070845801376² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1636711510 + ... + 1636720106.

It is an arithmetic number, because the mean of its divisors is an integer number (66847988340).

Almost surely, 2^{14070845801376} is an apocalyptic number.

14070845801376 is a gapful number since it is divisible by the number (16) 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 14070845801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669627522560).

14070845801376 is an abundant number, since it is smaller than the sum of its proper divisors (37268409243744).

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

14070845801376 is an equidigital number, since it uses as much as digits as its factorization.

14070845801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 14070845801376 in words is "fourteen trillion, seventy billion, eight hundred forty-five million, eight hundred one thousand, three hundred seventy-six".