10146091993056 has 384 divisors, whose sum is σ = 31791466465920. Its totient is φ = 3175952302080.

The previous prime is 10146091993033. The next prime is 10146091993097. The reversal of 10146091993056 is 65039919064101.

It is a happy number.

10146091993056 is a `hidden beast` number, since 1 + 0 + 1 + 460 + 91 + 9 + 93 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10146091992993 and 10146091993011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543696366 + ... + 543715026.

It is an arithmetic number, because the mean of its divisors is an integer number (82790277255).

Almost surely, 2^{10146091993056} is an apocalyptic number.

10146091993056 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 10146091993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895733232960).

10146091993056 is an abundant number, since it is smaller than the sum of its proper divisors (21645374472864).

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

10146091993056 is an equidigital number, since it uses as much as digits as its factorization.

10146091993056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19166 (or 19140 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 10146091993056 in words is "ten trillion, one hundred forty-six billion, ninety-one million, nine hundred ninety-three thousand, fifty-six".