10746226483200 has 4032 divisors, whose sum is σ = 48556104210432. Its totient is φ = 2242274918400.

The previous prime is 10746226483171. The next prime is 10746226483249. The reversal of 10746226483200 is 238462264701.

It is a happy number.

10746226483200 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 62 + 264 + 8 + 320 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 290438553582 + ... + 290438553618.

It is an arithmetic number, because the mean of its divisors is an integer number (12042684576).

Almost surely, 2^{10746226483200} is an apocalyptic number.

10746226483200 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 10746226483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24278052105216).

10746226483200 is an abundant number, since it is smaller than the sum of its proper divisors (37809877727232).

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

10746226483200 is a wasteful number, since it uses less digits than its factorization.

10746226483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10746226483200 in words is "ten trillion, seven hundred forty-six billion, two hundred twenty-six million, four hundred eighty-three thousand, two hundred".