10819293641564 has 12 divisors (see below), whose sum is σ = 18933842566464. Its totient is φ = 5409624336864.

The previous prime is 10819293641561. The next prime is 10819293641567. The reversal of 10819293641564 is 46514639291801.

It is an interprime number because it is at equal distance from previous prime (10819293641561) and next prime (10819293641567).

It is a super-2 number, since 2×10819293641564² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819293641561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4514057 + ... + 6481920.

It is an arithmetic number, because the mean of its divisors is an integer number (1577820213872).

Almost surely, 2^{10819293641564} is an apocalyptic number.

It is an amenable number.

10819293641564 is a deficient number, since it is larger than the sum of its proper divisors (8114548924900).

10819293641564 is a wasteful number, since it uses less digits than its factorization.

10819293641564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241964 (or 11241962 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 10819293641564 in words is "ten trillion, eight hundred nineteen billion, two hundred ninety-three million, six hundred forty-one thousand, five hundred sixty-four".