10545157030464 has 336 divisors, whose sum is σ = 35258386176000. Its totient is φ = 3012077021184.

The previous prime is 10545157030423. The next prime is 10545157030489. The reversal of 10545157030464 is 46403075154501.

It is a happy number.

10545157030464 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 1 + 570 + 30 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10545157030464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408458529 + ... + 1408466015.

Almost surely, 2^{10545157030464} is an apocalyptic number.

10545157030464 is a gapful number since it is divisible by the number (14) 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 10545157030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629193088000).

10545157030464 is an abundant number, since it is smaller than the sum of its proper divisors (24713229145536).

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

10545157030464 is an equidigital number, since it uses as much as digits as its factorization.

10545157030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 10545157030464 in words is "ten trillion, five hundred forty-five billion, one hundred fifty-seven million, thirty thousand, four hundred sixty-four".