10132678669344 has 384 divisors, whose sum is σ = 34315006924800. Its totient is φ = 2540369018880.

The previous prime is 10132678669343. The next prime is 10132678669349. The reversal of 10132678669344 is 44396687623101.

It is not an unprimeable number, because it can be changed into a prime (10132678669343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358446287 + ... + 1358453745.

It is an arithmetic number, because the mean of its divisors is an integer number (89361997200).

Almost surely, 2^{10132678669344} is an apocalyptic number.

10132678669344 is a gapful number since it is divisible by the number (14) 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 10132678669344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157503462400).

10132678669344 is an abundant number, since it is smaller than the sum of its proper divisors (24182328255456).

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

10132678669344 is a wasteful number, since it uses less digits than its factorization.

10132678669344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 10132678669344 in words is "ten trillion, one hundred thirty-two billion, six hundred seventy-eight million, six hundred sixty-nine thousand, three hundred forty-four".