10351464123456 has 196 divisors, whose sum is σ = 31022511147132. Its totient is φ = 3425299881984.

The previous prime is 10351464123439. The next prime is 10351464123521. The reversal of 10351464123456 is 65432146415301.

10351464123456 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 14 + 64 + 123 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6605845793856 + 3745618329600 = 2570184^2 + 1935360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5582136 + ... + 7201608.

Almost surely, 2^{10351464123456} is an apocalyptic number.

10351464123456 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 10351464123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511255573566).

10351464123456 is an abundant number, since it is smaller than the sum of its proper divisors (20671047023676).

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

10351464123456 is an equidigital number, since it uses as much as digits as its factorization.

10351464123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619640 (or 1619615 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 10351464123456 in words is "ten trillion, three hundred fifty-one billion, four hundred sixty-four million, one hundred twenty-three thousand, four hundred fifty-six".