10749147192000 has 1344 divisors, whose sum is σ = 48135114743040. Its totient is φ = 2232631296000.

The previous prime is 10749147191921. The next prime is 10749147192019. The reversal of 10749147192000 is 29174194701.

10749147192000 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 91 + 471 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 248450370 + ... + 248493630.

Almost surely, 2^{10749147192000} is an apocalyptic number.

10749147192000 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 10749147192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067557371520).

10749147192000 is an abundant number, since it is smaller than the sum of its proper divisors (37385967551040).

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

10749147192000 is a wasteful number, since it uses less digits than its factorization.

10749147192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43347 (or 43324 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10749147192000 in words is "ten trillion, seven hundred forty-nine billion, one hundred forty-seven million, one hundred ninety-two thousand".