10047100645296 has 960 divisors, whose sum is σ = 34659075010560. Its totient is φ = 2675441664000.

The previous prime is 10047100645243. The next prime is 10047100645349. The reversal of 10047100645296 is 69254600174001.

10047100645296 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 100 + 6 + 452 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (10047100645243) and next prime (10047100645349).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13065150000 + ... + 13065150768.

It is an arithmetic number, because the mean of its divisors is an integer number (36103203136).

Almost surely, 2^{10047100645296} is an apocalyptic number.

10047100645296 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 10047100645296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329537505280).

10047100645296 is an abundant number, since it is smaller than the sum of its proper divisors (24611974365264).

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

10047100645296 is a wasteful number, since it uses less digits than its factorization.

10047100645296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10047100645296 in words is "ten trillion, forty-seven billion, one hundred million, six hundred forty-five thousand, two hundred ninety-six".