10947814362000 has 1680 divisors, whose sum is σ = 42265010151936. Its totient is φ = 2738473920000.

The previous prime is 10947814361987. The next prime is 10947814362083. The reversal of 10947814362000 is 26341874901.

10947814362000 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 7 + 8 + 1 + 436 + 200 + 0 = 666.

10947814362000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 83571101935 + ... + 83571102065.

Almost surely, 2^{10947814362000} is an apocalyptic number.

10947814362000 is a gapful number since it is divisible by the number (10) 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 10947814362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21132505075968).

10947814362000 is an abundant number, since it is smaller than the sum of its proper divisors (31317195789936).

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

10947814362000 is an equidigital number, since it uses as much as digits as its factorization.

10947814362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10947814362000 in words is "ten trillion, nine hundred forty-seven billion, eight hundred fourteen million, three hundred sixty-two thousand".