10345077328128 has 288 divisors, whose sum is σ = 29982877088640. Its totient is φ = 3155349012480.

The previous prime is 10345077328127. The next prime is 10345077328139. The reversal of 10345077328128 is 82182377054301.

It is not an unprimeable number, because it can be changed into a prime (10345077328127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73896918 + ... + 74036778.

Almost surely, 2^{10345077328128} 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 10345077328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991438544320).

10345077328128 is an abundant number, since it is smaller than the sum of its proper divisors (19637799760512).

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

10345077328128 is a wasteful number, since it uses less digits than its factorization.

10345077328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140073 (or 140059 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 10345077328128 in words is "ten trillion, three hundred forty-five billion, seventy-seven million, three hundred twenty-eight thousand, one hundred twenty-eight".